Piotr T. Chruściel - Publications
Books
- On Uniqueness in the Large of
Solutions of Einstein Equations ("Strong Cosmic
Censorship")
Proceedings of the Centre for
Mathematical Analysis, Volume 27, Australian National
University (1991)
- P.T. Chruściel, J. Jezierski, J. Kijowski:
Hamiltonian field theory in the radiating
regime
Springer Lecture Notes in Physics m70 (2002)
-
Elements of general relativity
Birkhäuser Compact Textbooks in Mathematics (2020)
-
Geometry of black holes
Oxford University Press (2020)
Research monographs
- L. Andersson, P.T. Chruściel:
On asymptotic behaviour of solutions of the constraint
equations in general relativity with "hyperboloidal boundary
conditions"
Tours preprint 103/95, Dissertationes Mathematicae
355, 1-100 (1996) [Errata].
- P.T. Chruściel, E. Delay:
On mapping properties of the general
relativistic constraints operator in weighted function spaces, with applications
Tours preprint 1/2003,
Mémoires de la Société Mathématique de
France 94,
1-103 (2003)
[http://arxiv.org/abs/gr-qc/0301073]
- A. Cabet, P.T. Chruściel, R. Tagne Wafo:
On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations
Vienna preprint UWThPh-2014-14, Dissertationes Mathematicae 515, 1-72 (2016), arXiv:1406.3009 [gr-qc]
Refereed papers
- Asymptotic Symmetries of de Sitter
Space-Time
Acta Physica Polonica B12, 719-737 (1981).
- On the Unified Affine Electromagnetism and
Gravitation Theories
Acta Physica Polonica B15, 35-51 (1984).
- P.T. Chruściel, J. Kowalski-Glikman:
The Isometry Group and Killing Spinors of the pp-Wave
Space-times in d=11 Supergravity
Trieste ICTP preprint 84/47, Physics Letters
B149, 107-110 (1984)
[pdf]
[ps].
- Sur l'Existence de Solutions Singuliéres
d'une Equation `Condition de Coordonnées' Utilisée
par J.Kijowski dans l'Analyse Symplectique de la
Relativité Générale
Comptes Rendus de l' Académie des Sciences de Paris (série I) 299,
891-894 (1984) [pdf].
- On the Relation Between the Einstein and Komar
Expressions for the Energy of the Gravitational
Field
Annales Institut H.Poincaré 42, 267-282
(1985) [scanned
pages (jpg.gz)].
- On the Invariance Properties and the
Hamiltonian of the Unified Affine Electromagnetism and
Gravitation Theories
Annales Institut H.Poincaré 42, 329-340
(1985).
- Sur les Feuilletages Conformément
Minimaux des Variétés Riemaniennes de Dimension
Trois
Comptes Rendus de l' Académie des Sciences de Paris (série I) 301,
609-612 (1985) [pdf].
- A Remark on the Positive Energy
Theorem
letter to Classical and Quantum Gravity
3, L115-L121
(1986) [pdf]
[ps], Corrigendum
4, 1049 (1987)
[pdf]
[ps]
- On Angular Momentum at Spatial
Infinity
letter to Classical and Quantum Gravity
4, L205-L210
(1987) [pdf]
[ps].
- P.T. Chruściel, W. Kondracki:
On Some Global Charges in Classical Yang-Mills
Theory
Physical Review D36, 1874-1881 (1987) [pdf file (0,7 M)].
- Sur les coordonnées p-harmoniques en
relativité générale
Comptes Rendus de l' Académie des Sciences de Paris (série I) 305,
797-800 (1987) [pdf].
- On the Invariant Mass Conjecture in General
Relativity
Yale
preprint YCTP G1-88, Communications in Mathematical Physics
120, 233-248 (1988).
- On the Structure of Spatial Infinity: I. The
Geroch Structure.
Yale
preprint YCTP-G6-88,
Journal of Mathematical Physics 30, 2090-2093
(1989)
[pdf]
[ps]
- On the Structure of Spatial Infinity: II.
Geodesically Regular Ashtekar-Hansen Structures.
Yale
preprint YCTP-G1-89,
Journal of Mathematical Physics 30, 2094-2100
(1989)
[pdf]
[ps].
- A-priori Estimates in Weighted Hoelder Spaces
for a Class of Scale-Covariant Second Order Elliptic
Operators
CMA ANU Research Report CMA-R27-88, Annales de la Faculté des Sciences de
Toulouse XI, 21-37 (1990).
- R. Bartnik, P.T. Chruściel and N. O'Murchadha:
On Maximal Hypersurfaces in Asymptotically Flat
Space-Times
CMA ANU Research Report CMA-R44-88, Communications in Mathematical Physic
Physics 130, 95-109 (1990).
- On Space-Times with Symmetric Compact Cauchy Surfaces
Yale preprint YCTP-G5-89, Annals of Physics (NY)
202, 100-150 (1990) [scanned
pages (pdf)].
- P.T. Chruściel, J. Isenberg and V. Moncrief:
Strong Cosmic Censorship in Polarized Gowdy
Space-Times
CMA ANU Research Report CMA-R30-89, Classical
and Quantum
Gravity 7, 1671-1680 (1990)
[pdf]
[ps].
- Semi-global Existence and Convergence of
Solutions of the Robinson-Trautman (2-Dimensional Calabi)
Equation
CMA ANU Research Report CMA-R23-90, Communications in Mathematical
Physics 137, 289-313 (1991) [scanned
pages (jpg.gz)].
- On the Global Structure of Robinson-Trautman
Space-Times
CMA ANU Research Report CMA-R23-90, Proc. Royal Society of
London A436, 299-316 (1992) [scanned
pages (jpg.gz)].
- P.T. Chruściel, D. Singleton:
Non-Smoothness of Event Horizons of Robinson-Trautman
Black-Holes
CMA ANU Research Report CMA-MR15-91, Communications in Mathematical
Physics 147, 137-162 (1992) [scanned
pages (jpg.gz)].
- L. Andersson, P.T. Chruściel, H. Friedrich:
On the Regularity of Solutions to the Yamabe Equation
and the Existence of Smooth Hyperboloidal Initial Data for
Einstein's Field Equations
Communications in Mathematical Physics 149, 587-612 (1992) [tex,dvi,ps files]
[pdf]
[ps].
- L. Andersson, P.T. Chruściel:
Hyperboloidal Cauchy data for vacuum Einstein equations
and obstructions to smoothness of null infinity
Physical
Review Letters 70, 2829-2832 (1993) [http://arxiv.org/abs/gr-qc/9304019]
[pdf]
[ps].
- P.T. Chruściel, J. Isenberg:
Non-Isometric Vacuum Extensions of Vacuum Maximal
Globally Hyperbolic Space-Times
Garching preprint MPA 727 (March 1993); Physical
Review D48, 1616-1628 (1993) [pdf file (1,14
M)].
- On completeness of orbits of Killing vector
fields
ITP preprint NSF-ITP-93-44, Classical and Quantum
Gravity 10, 2091-2101 (1993) [http://arxiv.org/abs/gr-qc/9304029]
[pdf]
[ps].
- L. Andersson, P.T. Chruściel:
On "hyperboloidal" Cauchy data for vacuum Einstein
equations and obstructions to smoothness of Scri
preprint TRITA-MAT-1992-0038; CMA ANU Research Report
CMA-MR35-92; Communications in Mathematical Physics 161, 533-568
(1994) [tex,dvi,ps
files].
- P.T. Chruściel, R. Wald:
Maximal Hypersurfaces in Stationary Asymptotically Flat
Space-Times
Garching preprint MPA 708 (December 1992); Communications in Mathematical
Physics 163, 561-604 (1994) [http://arxiv.org/abs/gr-qc/9304009].
- P.T. Chruściel, R. Wald:
On the topology of black holes
Classical and
Quantum Gravity 11, L147-L152 (1994) [http://arxiv.org/abs/gr-qc/9410004]
[pdf]
[ps].
- P.T. Chruściel, M.A.H. MacCallum, D. Singleton:
Gravitational Waves in General Relativity. XIV: Bondi
Expansions and the "Polyhomogeneity" of Scri
ANU Research Report CMA-MR14-92 (SMS-53-92), Phil. Trans.
Royal Soc. of London A350, 113-141 (1995) [http://arxiv.org/abs/gr-qc/9305021].
- B. Berger, P.T. Chruściel, V. Moncrief;
On
the global structure of U(1)xU(1) symmetric "asymptotically flat"
electro-vacuum space-times
Garching preprint MPA 797, Annals of Physics (NY)
237, 322-354 (1995) [http://arxiv.org/abs/gr-qc/9404005]
[pdf]
[ps].
- P.T. Chruściel, N. Nadirashvili:
All Majumdar-Papapetrou black holes with a non-singular
domain of outer communication
Classical
and Quantum Gravity 12, L17-L23 (1995) [http://arxiv.org/abs/gr-qc/9412044]
[pdf]
[ps]; corrigendum and remarks [pdf]
[ps].
- P.T. Chruściel, A. Rendall:
Strong Cosmic Censorship in vacuum space-times with
compact, locally homogeneous Cauchy surfaces
Annals of Physics (NY) 242, 349-385 (1995) [http://arxiv.org/abs/gr-qc/9410040]
[pdf]
[ps].
- R. Beig, P.T. Chruściel:
Killing vector fields in asymptotically flat space-times:
I. Asymptotically translational Killing vectors and the rigid
positive energy theorem
Tours preprint 107/95,
Journal of Mathematical Physics 37, 1939-1961 (1996) [http://arxiv.org/abs/gr-qc/9510015]
[pdf]
[ps]; corrigendum and remarks [pdf]
[ps].
- P.T. Chruściel, J. Isenberg:
On the stability of differentiability of Cauchy
horizons
Tours preprint 106/95, Communications in Analysis and Geometry 5,
249-277 (1997).
- R. Beig, P.T. Chruściel:
Killing Initial Data
Tours preprint 119/96, Classical and Quantum
Gravity 14, A83-A92 (1997) (A special issue in
honour of A. Trautman on the occasion of his 64th Birthday,
J.Tafel, editor) [http://arxiv.org/abs/gr-qc/9604040]
[pdf]
[ps].
- R. Beig, P.T. Chruściel:
The isometry groups of asymptotically flat, asymptotically
empty space-times with timelike ADM four-momentum
Tours preprint 132/96,
Communications in Mathematical Physics 188, 585-597 (1997) [http://arxiv.org/abs/gr-qc/9610034]
[pdf]
[ps].
- On rigidity of analytic black holes
Tours preprint 131/96,
Communications in Mathematical Physics, 189, 1-7 (1997) [http://arxiv.org/abs/gr-qc/9610011]
[pdf]
[ps].
- B. Berger, P.T. Chruściel,
J. Isenberg , V. Moncrief:
Global foliations of vacuum spacetimes with isometry
Annals of Physics (NY) 260, 117-148 (1997) [http://arxiv.org/abs/gr-qc/9702007]
[pdf]
[ps].
- P.T. Chruściel, J. Shatah:
Global existence of solutions of the Yang-Mills equations on
globally hyperbolic four dimensional Lorentzian
manifolds
Asian
Journal of Math. 1, 530-548
(1997); AMS electronic preprint #199710-35-003.
- P.T. Chruściel, G. Galloway:
Horizons Non-Differentiable on a Dense Set
Tours preprint 135/96,
Communications in Mathematical Physics 193, 449-470 (1998) [http://arxiv.org/abs/gr-qc/9611032].
- P.T. Chruściel, J. Jezierski, M.A.H. MacCallum:
Uniqueness of scalar field energy and gravitational energy
in the radiating regime
A. Einstein Institute preprint AEI-055 (1998),
Physical Review Letters 80, 5052-5055 (1998) [http://arxiv.org/abs/gr-qc/9801073]
[pdf]
[ps].
- P.T. Chruściel, J. Jezierski, M.A.H. MacCallum:
Uniqueness of the Trautman-Bondi mass
Tours preprint 163/98,
Physical Review D58, 084001 (16 pages) (1998)
[http://arxiv.org/abs/gr-qc/9803010]
[pdf]
[ps].
- A remark on differentiability of Cauchy
horizons
Tours preprint 153/97, Classical and Quantum
Gravity 15, 3845-3848 (1998) [http://arxiv.org/abs/gr-qc/9807059]
[pdf]
[ps].
- The classification of static and vacuum space-times
containing an asymptotically flat spacelike hypersurface with
compact interior
MPI Golm preprint AEI-094, Classical and Quantum
Gravity 16, 661-687 (1999) [http://arxiv.org/abs/gr-qc/9809088]
[pdf]
[ps]
[Corrigendum (pdf)].
- Towards a classification of static and electro-vacuum
space-times containing an asymptotically flat spacelike
hypersurface with compact interior
MPI Golm preprint AEI-095, Classical and Quantum
Gravity 16, 689-704 (1999) [http://arxiv.org/abs/gr-qc/9810022]
[pdf]
[ps]
[Corrigendum (pdf)].
- P.T. Chruściel, E. Delay, G. Galloway, R. Howard:
Regularity of Horizons and the Area Theorem
Tours preprint 198/2000,
Annales Henri Poincaré 2, 109-178 (2001), [http://arxiv.org/abs/gr-qc/0001003].
- P.T. Chruściel, W. Simon:
Towards the classification of static vacuum spacetimes
with negative cosmological constant
Tours preprint 210/2000;
Journal of Mathematical Physics 42, 1779-1817 (2001) [http://arxiv.org/abs/gr-qc/0004032]
[pdf]
[ps].
- P.T. Chruściel, G. Nagy:
The Hamiltonian mass of asymptotically anti-de Sitter
space-times
Classical and Quantum Gravity 18, L61-L68 (2001) [http://arxiv.org/abs/
hep-th/0011270]
[pdf]
[ps].
- P.T. Chruściel, G. Nagy:
The mass of spacelike hypersurfaces in asymptotically anti-de
Sitter space-times
Tours preprint 14/2001,
Advances in Theoretical and Mathematical Physics 19,
Number 4, July 2001 (49 pages) [http://arxiv.org/abs/gr-qc/0110014].
- P.T. Chruściel, J. Fu, G. Galloway, R. Howard:
On fine differentiability properties of horizons and
applications to Riemannian geometry
Tours preprint 222/2000,
Journal of Geometry and Physics 41, 1-12 (2002),
[http://arxiv.org/abs/gr-qc/0011067]
[pdf]
[ps]
- P.T. Chruściel, E. Delay:
Existence of non-trivial, vacuum, asymptotically simple
space-times
Tours preprint 9/2002,
Classical and Quantum Gravity 19, L71-L79
(2002), [
http://arxiv.org/abs/gr-qc/0203053]
[pdf]
[ps] Erratum
[pdf]
[ps].
- M. Anderson, P.T. Chruściel, E. Delay:
Non-trivial, static, geodesically complete vacuum space-times with
a negative cosmological constant
Tours preprint
19/2002, Journal
of High Energy Physics 10 (2002) 063 [http://arxiv.org/abs/gr-qc/0211006]
- P.T. Chruściel, R. Mazzeo:
On "many black hole" vacuum space-times
Tours preprint 20/2002,
Classical and Quantum Gravity 20, 729-754
(2003), [http://arxiv.org/abs/gr-qc/0210103]
[pdf]
[ps]
- P.T. Chruściel, M. Herzlich:
The mass of asymptotically hyperboloidal Riemannian
manifolds
Tours preprint 13/2001, Pacific
Journal of Mathematics 212, 231-264 (2003), [http://arxiv.org/abs/math.DG/0110035]
[pdf]
[ps];
Erratum to the published version [pdf]
[ps]
- P.T. Chruściel, E. Delay:
Manifold structures on sets of solutions
of the constraint equations
Journal of Geometry and Physics
51,
442-472 (2004) [ESI
preprint 1353] [http://arxiv.org/abs/gr-qc/0309001]
[Errata]
- P.T. Chruściel, O. Lengard:
Solutions
of wave equations in the radiation regime
Tours preprint 4/2002, Bulletin
de la Société Mathématique de
France
133,
1-72 (2005) [http://arxiv.org/abs/math.AP/0202015];
corrigendum and remarks [pdf]
[ps].
- R. Bartnik, P.T. Chruściel:
Boundary value problems for
Dirac--type equations, with applications
Tours preprint 7/2003, Journal fér die reine und angewandte Mathematik (Crelle's Journal), 579, 13-73 (2005)
[http://arxiv.org/abs/math.DG/0307278]
- P.T. Chruściel, J. Jezierski, S. Leski:
The Trautman-Bondi mass of hyperboloidal initial data
sets
Advances in Theoretical and Mathematical Physics 8, 83-139 (2004)
[ESI preprint 1354],
[http://arxiv.org/abs/gr-qc/0307109]
- M. Chae, P.T. Chruściel:
On the dynamics of Gowdy space-times
Tours preprint 6/2003, Communications
in Pure and Applied Mathematics
57 1015-1074 (2004),
[http://arxiv.org/abs/gr-qc/0305029]
- P.T. Chruściel, G. Galloway:
A poor man's positive energy theorem
letter to
Classical and
Quantum Gravity
21, L59 - L63 (2004)
[http://arxiv.org/abs/gr-qc/0402106]
- P.T. Chruściel, J.Isenberg, D.Pollack:
Gluing initial data sets for general relativity
Physical
Review Letters 93 081101 (2004)
[http://arxiv.org/abs/gr-qc/0409047]
-
A
poor man's positive energy theorem: II. Null geodesics
Classical and
Quantum Gravity
21, 4399-4415 (2004).
[http://arxiv.org/abs/gr-qc/0406077]
- R. Beig, P.T. Chruściel, R. Schoen:
KIDs are non-generic
ESI preprint 1464,
Annales Henri Poincaré 6, 155 - 194 (2005)
[http://arxiv.org/abs/gr-qc/0403042]
- P.T. Chruściel, A. Gerber:
On
potentials for the curvature tensor on three dimensional manifolds
General Relativity and Gravitation 37, 891-905 (2005).
- P.T. Chruściel, J.Isenberg, D.Pollack:
Initial data engineering
Communications
in Mathematical Physics 257, 29-42 (2005)
[http://arxiv.org/abs/gr-qc/0403066]
- P.T. Chruściel, E. Delay, J.M. Lee, D.M. Skinner:
Boundary regularity of conformally compact
Einstein metrics
Journal of Differential
Geometry 69, 111-136
(2005)
[http://arxiv.org/abs/math.DG/0401386]
- M. Anderson, P.T. Chruściel:
Asymptotically simple
solutions of the vacuum Einstein equations in even dimensions
Communications in Mathematical Physics
260, 557 - 577 (2005), [ESI
preprint 1555]
[http://arxiv.org/abs/gr-qc/0412020]
- P.T. Chruściel, S. Leski:
Polyhomogeneous solutions of wave equations without corner conditions
Journal of Hyperbolic Differential Equations 3, 81-141 (2006),
[http://arxiv.org/abs/math.AP/0506423];
Corrigendum 3, 779-780 (2006) [pdf]
[ps]
[dvi]
- P.T. Chruściel, H.S. Reall, P. Tod,
On non-existence of static vacuum black holes with degenerate components of the event horizon
Newton Institute preprint
NI05066-GMR (Dec 2005), Classical and Quantum Gravity 23, 549-554 (2006),
[http://arxiv.org/abs/gr-qc/0512041]
- P.T. Chruściel, D. Maerten:
Killing vectors in asymptotically flat space--times: II.
Asymptotically translational Killing vectors and the rigid
positive
energy theorem in higher dimensions
Newton Institute preprint NI05062-GMR (Dec 2005),
Journal of Mathematical Physics 47
(2006) 022502 , 10 pp.
[http://arxiv.org/abs/gr-qc/0512042]
- P.T. Chruściel, H.S. Reall, P. Tod:
On Israel-Wilson-Perjés black holes
Newton Institute preprint NI05089-GMR (Dec 2005),
Classical and Quantum Gravity 23, 2519-2540 (2006) [http://arxiv.org/abs/gr-qc/0512116]
- P.T. Chruściel, G.-M. Greuel, R. Meinel, S.J. Szybka:
The Ernst equation and ergosurfaces
preprint AEI-2006-014, Classical and Quantum Gravity 23, 4399-4414 (2006)
[http://arxiv.org/abs/gr-qc/0603041]
- P.T. Chruściel, E. Delay:
Non-trivial,
stationary, geodesically complete, vacuum space-times with a
negative cosmological constant
Newton
Institute preprint NI05088-GMR (Dec 2005), Annales Henri Poincaré 8,
219-239 (2007),
[http://arxiv.org/abs/gr-qc/0512110]
- P.T. Chruściel, P. Tod:
The classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface
with compact interior
Newton Institute preprint NI05067-GMR (Dec 2005),
Communications in Mathematical Physics 271
, 577-589 (2007)
[http://arxiv.org/abs/gr-qc/0512043]
- P.T. Chruściel, D. Maerten, P. Tod:
A rigid upper bound for the angular momentum and centre of mass
of non-singular asymptotically anti-de-Sitter space-times
preprint AEI-2006-041, Journal of High Energy Physics 11 084, 42 pp. (2006), [http://arxiv.org/abs/gr-qc/0606064]
- Y. Choquet-Bruhat, P.T. Chruściel, J. Loizelet:
Global solutions of the Einstein-Maxwell equations in higher dimensions
preprint AEI-2006-065, Classical and Quantum Gravity 23, 7383-7394 (2006),
[http://arxiv.org/abs/gr-qc/0608108]
- R. Beig, P.T. Chruściel:
The asymptotics of stationary electro-vacuum metrics in odd space-time dimensions
Newton Institute preprint NI06046-GMR (Oct 2006),
Classical and Quantum
Gravity 24, 867-874 (2007) [http://arXiv.org/abs/gr-qc/0612012]
- P.T. Chruściel, S.J. Szybka:
On the Ernst electro-vacuum equations and ergosurfaces
Acta Physica Polonica B39, 59-74 (2008)
[http://arxiv.org/abs/0708.1169]
- P.T. Chruściel, P. Tod:
On Mason's rigidity theorem
Communications in Mathematical Physics,
285, 1-29 (2009)
[arXiv:0712.3846]
- P.T. Chruściel:
Mass and angular-momentum inequalities for axi-symmetric initial
data: I. Positivity of mass
Annals
of Physics (NY) 323
(2008) 2566–2590 (doi:10.1016/j.aop.2007.12.010), [arXiv:0710.3680]
- P.T. Chruściel, Y.Y. Li, G. Weinstein:
Mass and angular-momentum inequalities for axi-symmetric initial
data: II. Angular momentum
Annals
of Physics (NY) 323
(2008) 2591–2613(doi:10.1016/j.aop.2007.12.011), [arXiv:0712.4064]
- P.T. Chruściel, D. Pollack:
Singular Yamabe metrics and initial data
with exactly Kottler-Schwarzschild-de Sitter ends
Annales Henri Poincaré
9, 639-654 (2008), arXiv:0710.3365 [gr-qc]
- P.T. Chruściel, F. Pacard, D. Pollack:
Singular Yamabe metrics and initial data
with exactly Kottler-Schwarzschild-de Sitter ends. II Generic
metrics
Mathematical Research
Letters
16 (2009) 157-164,
arXiv:0803.1817v1 [gr-qc]
- P.T. Chruściel:
On higher dimensional black holes with abelian isometry group
Mittag-Leffler Institute
preprint IML-0809f,
December 2008,
Journal of Mathematical Physics
50 052501 (2009),
arXiv:0812.3424 [gr-qc]
- Y. Choquet-Bruhat, P.T. Chruściel, J.M.
Martin-Garcia:
A property of light-cones in Einstein's gravity
Comptes Rendus Acad. Sciences Paris - Mathématique 347 (2009) 971-977,
doi:10.1016/j.crma.2009.06.001
- Y. Choquet-Bruhat, P.T. Chruściel, J.M.
Martin-Garcia:
The light-cone theorem
Mittag-Leffler Institute
preprint IML-0809f-40,
Classical and Quantum Gravity 26 (2009) 135011 (22 pp)
arXiv:0905.2133 [gr-qc]
[CQG Highlights of 2009–2010]
- P.T. Chruściel, E. Delay:
Gluing constructions for asymptotically hyperbolic
manifolds with constant scalar curvature
Communications in Analysis
and Geometry 17
(2009) 343-381,
arXiv:0711.1557 [gr-qc]
- P.T. Chruściel, P. Tod:
An angular momentum bound at null infinity
Advances in Mathematical and Theoretical Physics 13 (2009) 1317–1334,
arXiv:0706.4057 [gr-qc]
- P.T. Chruściel, G. Galloway, D. Solis:
Topological censorship for Kaluza-Klein space-times
Annales
Henri Poincaré 10 (2009) 893-912, doi:10.1007/s00023-009-0005-z,
arXiv:0808.3233 [gr-qc]
- P.T. Chruściel, R. Tagne Wafo:
Solutions polyhomogènes des équations d'ondes quasi-linéaires (Polyhomogeneous solutions of quasi-linear hyperbolic wave equations)
Comptes Rendus Acad. Sciences Paris - Mathématique
347 (2009) 1035–1040,
doi:10.1016/j.crma.2009.07.006
- P.T. Chruściel, J. Costa:
Mass, angular-momentum, and charge inequalities for
axisymmetric initial data
Classical and Quantum Gravity 26
(2009) 235013 (7 pp), arXiv:0909.5625
[gr-qc]
[CQG Highlights of 2009–2010]
- P.T. Chruściel:
Conformal Boundary Extensions of Lorentzian Manifolds
preprint AEI-2006-039, Journal of Differential Geometry
84 (2010) 19-44, [arXiv:gr-qc/0606101]
- P.T. Chruściel, J. Cortier:
On the geometry of Emparan-Reall black rings
Mittag-Leffler Institute
preprint IML-0809f-15,
Journal of Differential
Geometry 85 (2010) 425-459, arXiv:0807.2309
[gr-qc]
- P.T. Chruściel, G. Galloway, D. Pollack:
Mathematical
general relativity: a sampler
Mittag-Leffler Institute
preprint IML-0809f-03,
Bulletin
of the AMS 47 (2010), 567–638,
arXiv:1004.1016 [gr-qc]
- P.T. Chruściel, L. Nguyen:
A
uniqueness theorem for degenerate Kerr-Newman black holes
Annales Henri Poincaré
11 (2010), 585-609,
arXiv:1002.1737 [gr-qc]
- P.T. Chruściel, G. Galloway:
Uniqueness of static black-holes without analyticity
Classical and Quantum Gravity (Fast Track Communication) 27 (2010)
152001 (6pp.), arXiv:1004.0513 [gr-qc]
[CQG Highlights of 2010]
- P.T. Chruściel, M. Eckstein, S.J. Szybka:
On smoothness of Black Saturns
Journal of High Energy Physics
11 (2010), 1-39,
DOI: 10.1007/JHEP11(2010)048, arXiv:1007.3668
[hep-th]
- P.T. Chruściel, J. Corvino, J. Isenberg:
Initial data for the relativistic gravitational N-body problem
Classical Quantum Gravity (Fast Track Communication) 27 (2010) 222002
(6 pp)
- P.T. Chruściel, J. Corvino, J. Isenberg:
Constructions of N-body initial data sets in general relativity
Communications in Mathematical Physics 304, 637–647 (2011),
arXiv:1004.1355 [gr-qc]
- Y. Choquet-Bruhat, P.T. Chruściel, J.M.
Martin-Garcia:
The Cauchy problem on a characteristic cone for the Einstein equations
in arbitrary dimensions
Annales Henri Poincaré (2011)
12 (3), 419-482, DOI: 10.1007/s00023-011-0076-5; arXiv:1006.4467 [gr-qc]
- P.T. Chruściel, R. Tagne Wafo:
Solutions of quasi-linear wave equations polyhomogeneous at null infinity in high dimensions
Journal
of Hyperbolic Differential Equations (2011) 8 (2), 269-346, arXiv:1010.2387 [gr-qc]
- P.T. Chruściel, E. Delay:
Unique continuation and extensions of Killing vectors at boundaries for stationary vacuum space-times
Journal of Geometry and Physics (2011) 61 (8), 1249-1257, arXiv:1102.0114 [math.DG]
- P.T. Chruściel, L. Nguyen:
Ghost points in inverse scattering constructions of stationary Einstein metrics
General Relativity and Gravitation (2011) 43, Number 6, 1615-1624, DOI: 10.1007/s10714-011-1159-9 , arXiv:1007.4972
[gr-qc]
- P.T. Chruściel, L. Nguyen:
A lower bound for the mass of axisymmetric connected black hole data sets
Classical and Quantum Gravity 28 (2011) 125001 (19 pp), arXiv:1102.1175
[gr-qc]
- P.T. Chruściel, J. Cortier, A. Garcia-Parrado:
On the geometry of Pomeransky-Senkov black holes
Advances in Mathematical and Theoretical Physics 14 (2010) 1779–1856,
arXiv:0911.0802 [gr-qc]
- P.T. Chruściel, S.J. Szybka:
Stable causality of the Pomeransky-Senkov black holes
Advances in Mathematical and Theoretical Physics 15 (2011) 175–178,
arXiv:1010.0213 [hep-th]
- P.T. Chruściel, J. Jezierski:
On free general relativistic initial data on the light cone
Journal of Geometry and Physics 62 (2012) 578–593, doi:10.1016/j.geomphys.2011.04.015, arXiv:1010.2098
[gr-qc]
- P.T. Chruściel, M. Eckstein, L. Nguyen, S.J. Szybka:
Existence of singularities in two-Kerr black holes
Vienna preprint UWThPh-2011-24, Classical and Quantum Gravity (2011) 28 245017 (16 pp), arXiv:1111.1448
[gr-qc]
- P.T. Chruściel, J. Grant:
On Lorentzian causality with continuous metrics
Vienna preprint UWThPh-2011-33, Classical and Quantum Gravity (2012) 29 145001 (32 pp), arXiv:1111.0400 [gr-qc]
- P.T. Chruściel, T. Paetz:
The many ways of the characteristic initial value problem
Vienna preprint UWThPh-2012-7, Classical and Quantum Gravity (2012) 29 145006 (27 pp), arXiv:1203.4534 [gr-qc]
- P.T. Chruściel, C.R. Ölz, S.J. Szybka:
Space-time diagrammatics
Vienna preprint UWThPh-2012-24, Physical Review D (2012) 86, 124041 (20 pp) arXiv:1211.1718
[gr-qc]
- P.T. Chruściel, J. Jezierski, J. Kijowski:
The Hamiltonian mass of asymptotically Schwarzschild-de Sitter space-times
Vienna preprint UWThPh-2013-2, Physical Review D 87 (2013) 124015 (11 pp), arXiv:1305.1014
[gr-qc]
- P.T. Chruściel, R. Mazzeo:
Initial data sets with ends of cylindrical type: I. The Lichnerowicz equation
Vienna preprint UWThPh-2011-43, Annales Henri Poincaré 16 (2015) 1231-1266, arXiv:1201.4937 [gr-qc]
- P.T. Chruściel, R. Mazzeo, S. Pocchiola:
Initial data sets with ends of cylindrical type: II. The vector constraint equation
Vienna preprint UWThPh-2012-16, Advances in Mathematical and Theoretical Physics 17 (2013), pp. 829-865, arXiv:1203.5138 [gr-qc]
- P.T. Chruściel, T. Paetz:
KIDs like cones
Vienna preprint UWThPh-2013-8, Classical and Quantum Gravity 30 (2013) 235036 (24pp), arxiv:1305.7468 [gr-qc]
- P.T. Chruściel, T. Paetz:
Solutions of the vacuum Einstein equations with initial data on past null infinity
Vienna preprint UWThPh-2013-13, Classical and Quantum Gravity 30 (2013) 235037 (14pp), arxiv:1307.0321 [gr-qc]
- P.T. Chruściel, G. Galloway:
Outer trapped surfaces are dense near MOTSs
Vienna preprint UWThPh-2013-17, Classical and Quantum Gravity 31 (2014) 045013 (11pp), arXiv:1308.6057
[gr-qc]
- P.T. Chruściel:
The existence theorem for the Cauchy problem on the light-cone for the
vacuum Einstein equations
Vienna preprint UWThPh-2012-29, Forum of Mathematics, Sigma 2 (2014), e10 (50pp), arXiv:1209.1871
[gr-qc]
- P.T. Chruściel, T. Paetz:
The mass of light-cones
Vienna preprint UWThPh-2014-2, Fast Track Communication in Classical and Quantum
Gravity 31 (2014) 102001 (10 pp.), arXiv1401.3789 [gr-qc]
[cqgplus]
[CQG Highlights of 2014–2015]
- P.T. Chruściel, T. Paetz:
Characteristic initial data and smoothness of Scri. I. Framework and results
Vienna preprint UWThPh-2014-1, Annales Henri Poincaré 16 (2015) 2131-2162, arXiv:1403.3558 [gr-qc]
- P.T. Chruściel, P. Klinger:
Vacuum space-times with controlled singularities and without symmetries
Vienna preprint UWThPh-2015-16, Physical Review D Rapid Communications D92 (2015) 041501(R) (3 pp.), arXiv:1507.00158 [gr-qc]
- P.T. Chruściel, J. Jezierski, J. Kijowski:
Hamiltonian dynamics in the space of asymptotically Kerr-de Sitter spacetimes
Vienna preprint UWThPh-2015-14,
Physical Review D 92 (2015) 084030 (30 pp.),
arXiv:1507.03868 [gr-qc]
- P.T. Chruściel, J. Grant, E. Minguzzi:
On differentiability of volume time functions
Vienna preprint UWThPh-2013-1, Annales Henri Poincaré 17 (2016) 2801–2824, arXiv:1301.2909 [gr-qc]
- P.T. Chruściel, O. Gicquaud:
Bifurcating solutions of the constraint equations
Vienna Preprint UWThPh-2014-21, Annales Henri Poincaré online first (2016) 1-37, arXiv:1506.00101 [gr-qc]
- P.T. Chruściel, M. Hörzinger:
The Euclidean quantisation of Kerr-Newman-de Sitter black holes
Vienna preprint UWThPh-2015-32,
Journal
of High Energy Physics 4 (2016) 1-37, arXiv:1511.08496 [gr-qc]
- P.T. Chruściel, E. Delay:
Exotic hyperbolic gluings
Vienna preprint UWThPh-2015-31, Journal of Differential Geometry 108 (2018) 243-293,
arXiv:1511.07858 [gr-qc]
- P.T. Chruściel, L. Ifsits:
The cosmological constant and the energy of gravitational radiation
Vienna Preprint UWThPh-2016-4, Physical Review D 93 (2016) 124075 (40 pp.),
arXiv:1603.07018 [gr-qc]
- P.T. Chruściel, E. Delay:
Non-singular spacetimes with a negative cosmological constant: II. Static solutions of the Einstein-Maxwell equations
Vienna preprint UWThPh-2016-26, Letters in Mathematical Physics 107 (2017) 1391-1407,
arXiv:1612.00281 [math-dg]
- Ch.Hilweg, F. Massa, D. Martynov, N. Mavalvala, P.T. Chruściel, P. Walther:
Gravitationally induced phase shift on a single photon
Vienna preprint UWThPh-2016-33, New Journal of Physics 19 (2017) 033028 (16 pp.),
arXiv:1612.03612 [quant-ph]
selected as Highlight of 2017 in the New Journal of Physics, and a research highlight in Nature Photonics 11 (2017) 208
- R. Beig, P.T. Chruściel:
Shielding linearised gravity
Vienna preprint UWThPh-2016-31, Physical Review D (2017) 95 064063 ,9 pp., arXiv:1701.00486 [gr-qc]
- P.T. Chruściel, M. Hörzinger:
Compact singularity-free Kerr-Newman-de Sitter instantons
Vienna preprint UWThPh-2016-32, Phys.Rev. D95 (2017) no.8, 086012, arXiv:1612.08569 [hep-th]
- P.T. Chruściel, E. Delay, P. Klinger:
Non-singular spacetimes with a negative cosmological constant: III. Stationary solutions with matter fields
Vienna preprint UWThPh-2016-30, Phys.Rev. D95 (2017) no.10, 104039,
arXiv:1701.03718 [gr-qc]
- P.T. Chruściel:
Long time existence from interior gluing
Vienna preprint UWThPh-2016-25,
Classical and Quantum Gravity (2017) 34, no 14,
145016,
arXiv:1612.04523 [gr-qc]
- P.T. Chruściel, S. Szybka, P. Tod:
Towards a classification of near-horizons
geometries
Vienna Preprint UWThPh-2017-16, Classical and Quantum Gravity 35 (2018) 015002 (14 pp),
arXiv:1707.01118 [gr-qc]
- P.T. Chruściel, E. Delay, P. Klinger:
Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields
Vienna preprint UWThPh-2017-19, Classical and Quantum Gravity 35 (2018) 035007 (16 pp)
,
arXiv:1708.04947[gr-qc]
- P.T. Chruściel, E. Delay, P. Klinger, A. Kriegl, P.W. Michor, A. Rainer:
Non-singular spacetimes with a negative cosmological constant: V. Boson stars
Vienna preprint UWThPh-2017-23, Letters in Mathematical Physics 108 (2018) 2009--2030,
arXiv:1708.02878 [gr-qc]
- P.T. Chruściel, G. Galloway, L. Nguyen, T. Paetz:
On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
Vienna Preprint UWThPh-2017-37, Classical and Quantum Gravity 35 (2018) 115015 (38 pp.), arXiv:1801.03442 [gr-qc]
- H. Barzegar, P.T. Chruściel, M. Hörzinger:
On energy in higher dimensional space-times
Vienna Preprint UWThPh-2017-24, Physical Review D96 (2017) 124002 (25 pp.), arXiv:1708.03122 [gr-qc]
- P.T. Chruściel, G. Galloway, E. Ling:
On weakly trapped surfaces in asymptotically de Sitter spacetimes
Vienna preprint UWThPh-2018-7, Classical and Quantum Gravity 35 (2018) 135001 (9pp),
arXiv:1803.02339 [gr-qc]
- P.T. Chruściel, L. Nguyen, P. Tod, A. Vasy:
Asymptotically flat Einstein-Maxwell fields are inheriting
Vienna Preprint UWThPh-2017-43, Communications in Analysis and Geometry 29 (2021), 579-627, arXiv:1802.09915 [gr-qc]
- P.T. Chruściel, E. Delay, P. Klinger:
On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics
Vienna preprint UWThPh-2017-30, Advances in Theoretical and Mathematical Physics,
23 1215–1269 (2019)
,
arXiv:1710.07597 [gr-qc]
- R.Beig, P.T. Chruściel, C. Hilweg, P. Kornreich, P. Walther:
Weakly gravitating isotropic waveguides
Vienna Preprint UWThPh-2018-9, Classical and Quantum Gravity 35 24 (2018)
244001 (32 pp.), arXiv:1807.04156 [gr-qc]
- H. Barzegar, P.T. Chruściel, L. Nguyen:
On the total mass of asymptotically hyperbolic manifolds
Vienna Preprint UWThPh-2018-32, Pure and Applied Mathematics Quarterly 15 Number 2, 683–706, 2019. arXiv:1812.03924 [gr-qc]
- H. Barzegar, P.T. Chruściel, M. Hoerzinger, M. Maliborski, L. Nguyen:
On the energy of asymptotically Horowitz-Myers metrics
Vienna preprint UWThPh-2019-19, Physical Review D 101
No. 2 (2020), 024007, 16 pp. ,
arXiv:1907.04019 [gr-qc]
- P.T. Chruściel, G. Galloway, Y. Potaux:
Uniqueness and energy bounds for static AdS metrics
Vienna preprint UWThPh-2019-25, Physical Review D 101 (2020) 064034 (11pp),
arXiv:1910.00070 [gr-qc]
- R. Beig, P.T. Chruściel:
On linearised vacuum constraint equations on Einstein manifolds
Vienna preprint UWThPh-2020-02, Classical and Quantum Gravity 37 (2020) 215012 (14pp),
arXiv:2002.01174 [gr-qc]
- P.T. Chruściel, M. Maliborski, N. Yunes:
The structure of the singular ring in Kerr-like metrics
Vienna preprint UWThPh-2019-37, Physical Review D101 (2020) 104048 (28 pp.),
arXiv:1912.06020 [gr-qc]
- P.T. Chruściel, S.J. Hoque, T. Smołka:
Energy of weak gravitational waves in spacetimes
with a positive cosmological constant
Vienna preprint UWThPh-2020-12, Physical Review D103 (2021) 064008 (7 pp.),
arXiv:2003.09548 [gr-qc]
- P.T. Chruściel, S.J. Hoque, M. Maliborski, T. Smołka:
On the canonical energy of weak gravitational fields
with a cosmological constant
Vienna preprint UWThPh-2020-27, European Physical Journal C 81 (2021)
696 (48 pp.),
arXiv:2103.05982 [gr-qc]
- P.T. Chruściel, G. Galloway:
Positive mass theorems for asymptotically hyperbolic
Riemannian manifolds with boundary
Vienna preprint UWThPh-2021-9, Classical and Quantum Gravity 38 (2021) 237001 (6pp),
arXiv:2107.05603 [gr-qc]
- T. Mieling, P.T. Chruściel, S. Palenta:
The Electromagnetic Field in Gravitational Wave Interferometers
Vienna preprint UWThPh-2021-11, Classical and Quantum Gravity 38 (2021) 215004 (52pp),
arXiv:2107.07727 [gr-qc]
- P.T. Chruściel, E. Delay:
On Carlotto-Schoen-type scalar-curvature gluings
Vienna preprint UWThPh-2016-19, Bulletin de la
Société Mathématique de France 149 (2021) 641-662,
arXiv:1611.00893 [math.DG]
- P. Cameron, P.T. Chruściel:
Asymptotic flatness in higher dimensions
Vienna preprint UWThPh-2021-30, Journal of Mathematical Physics 63 (2022) 032501; ,
arXiv:2112.13140 [gr-qc]
- P.T. Chruściel, E. Delay:
On asymptotically locally hyperbolic metrics with negative mass
Vienna preprint UWThPh-2022-12, SIGMA 19 (2023), 005, 15 pages,
Special Issue on Differential Geometry Inspired by Mathematical Physics in honor of Jean-Pierre Bourguignon for his 75th birthday,
arXiv:2207.14563 [hep-th]
- S. Borghini, P.T. Chruściel, L. Mazzieri:
On the uniqueness of Schwarzschild-de Sitter spacetime
Vienna preprint UWThPh-2019-17,
Archive for Rational Mechanics and Analysis 247 (2023) 22
arXiv:1909.05941 [math.DG]
- F. Steininger, P.T. Chruściel, T. Mieling:
No Proca photons
Vienna preprint UWThPh-2022-5, Physical Review D 107 (2023) 056013,
arXiv:2212.12408 [physics.class-ph]
- F. Steininger, P.T. Chruściel:
The Cauchy problem for the Proca equation in gravitating dielectric media
Vienna preprint UWThPh-2023-17, Journal of Mathematical Physics 64 (2023) 072501,
arXiv:2305.01563 [math-ph]
- P.T. Chruściel, W. Cong:
Gluing variations
Vienna preprint UWThPh-2023-4,
Classical and Quantum Gravity 40 (2023) 165009,
arXiv:2302.06928 [gr-qc]
- P.T. Chruściel, M. Mars:
On staticity of bifurcate Killing horizons
Vienna preprint UWThPh-2023-12,
Classical and Quantum Gravity 40 (2023) 225012 (19 pp.),
arXiv:2309.15464 [gr-qc]
- P.T. Chruściel, T. Smołka:
Hamiltonian charges on light cones for linear field
theories on (A)dS backgrounds
Vienna preprint UWThPh-2023-7, Journal of Mathematical Physics
64 (2023) 10, 102504,
arXiv:2305.12980 [gr-qc]
- P.T. Chruściel, E. Delay, R. Wutte:
Hyperbolic energy and Maskit gluings
Vienna preprint UWThPh-2021-25, to appear in Advances in Theoretical and Mathematical Physics,
arXiv:2112.00095 [math-dg]
Reviews, proceedings and invited papers
- On Kijowski's Unconstrained Degrees of Freedom
of the Gravitational Field
Proceedings of the IVth
Marcel Grossmann Meeting, Rome, June 1985, ed. by R. Ruffini,
pp. 1643-1649, Elsevier Science Publ., Amsterdam 1986.
- Boundary Conditions at Spatial Infinity from a
Hamiltonian Point of View
in Topological Properties and Global Structure of
Space-Time, ed. by P. Bergmann, V. de Sabbata, pp.
49-59, Plenum Press, New York 1986, arxiv:1312.0254 [gr-qc], [scanned
pages (jpg)] [scanned pages in pdf].
- On
the Energy of the Gravitational Field at Spatial
Infinity
Yale preprint YCTP-G2-89, Proceedings of the Canberra
Conference on Mathematical Relativity, R. Bartnik, ed., pp.
9-33, Proceedings of the Centre for
Mathematical Analysis, Volume 19, Canberra, 1989
[pdf]
[ps].
- On Uniqueness in the Large of Solutions of
Einstein Equations ("Strong Cosmic Censorship")
Contemporary Mathematics 132, 235-273
(1992).
- P.T. Chruściel, J. Isenberg:
Compact Cauchy Horizons and Cauchy Surfaces
Garching preprint MPA 728 (March 1993); Directions in
General Relativity, vol. 2 (Brill Festshrift), B. Hu, T.
Jacobson, eds., Cambridge University Press, Cambridge 1993,
pp. 97-107.
- P.T. Chruściel, J. Isenberg:
On the dynamics of generators of Cauchy
horizons
Proceedings of the Kananaskis conference on chaos in general
relativity, D. Hobill, A. Burd and A. Coley, eds., pp.
113-125, Plenum, 1994; MPA preprint MPA 773 [http://arxiv.org/abs/gr-qc/9401015].
- No Hair'' Theorems - Folklore, Conjectures,
Results
Differential Geometry and Mathematical Physics,
Proceedings of the AMS-CMS special session on Geometric
Methods in Mathematical Physics, August 15-19, 1993,
Vancouver, British Columbia, J. Beem, K.L. Duggal, eds,
Garching preprint MPA 792, Contemporary Mathematics
170, 23-49 (1994) [http://arxiv.org/abs/gr-qc/9402032] [corrigendum.pdf] .
- Uniqueness of black holes revisited
Proceedings of Journées Relativistes, Ascona, May 96,
(N. Straumann, Ph. Jetzer and G. Lavrelashvili, eds),
Helvetica Physica Acta 69, 529-552 (1996), Tours
preprint 130/96 [http://arxiv.org/abs/gr-qc/9610010].
- Workshop A3 -- Mathematical studies of field
equations -- A report
in Gravitation and Relativity: at the turn of the
Millennium, Proceedings of GR15, N. Dahdich and J.
Narlikar, eds., IUCAA Press, Pune, 1998; Tours preprint
162/98 [http://arxiv.org/abs/gr-qc/9803008].
- P.T. Chruściel, O. Lengard:
Polyhomogeneous solutions of wave equations in the
radiation regime
Tours preprint 215/2000;
Journées Equations aux dérivées partielles,
Nantes, 5-9 june, 2000, N. Depauw, D. Robert, X. Saint
Raymond, Eds., pp. III-1 - III-17 (2000).
-
The Hamiltonian mass and asymptotically anti-de Sitter
space-times
Proceedings of the symposium "100 years Werner Heisenberg",
Bamberg, Septembre 2001, Fortschritte der Physik 50,
624-629 (2002).
-
Black holes
Tours preprint 1/2002, Proceedings of the
Tuebingen symposium on the conformal structure of
space-times, J. Frauendiener, H. Friedrich, Eds.,
Springer Lecture Notes in Physics 604, 61-102 (2002) [http://arxiv.org/abs/gr-qc/0201053]
[pdf]
[ps]
-
On solutions of the vacuum Einstein equation in the radiation regime
in Advances in General Relativity and Cosmology,
G. Ferrarese, Editor, Proceedings of the Elba Conference in Memory of
A.Lichnerowicz, Pitagora Editrice, Bologna, pp. 187-193 (2003) [hhttp://arxiv.org/abs/gr-qc/0210092]
- P.T. Chruściel, K. Lake:
Cauchy horizons in Gowdy space-times
Classical
and Quantum Gravity 21, S153-S169 (2004) (Moncrief
Festschrift, B.Berger, J.Isenberg, Eds)
[http://arxiv.org/abs/gr-qc/0307088]
[pdf]
[ps]
- P.T. Chruściel, H.L. Bray:
The Penrose inequality
in The
Einstein Equations and the Large Scale Behavior of Gravitational
Fields (50 Years of the Cauchy Problem in General Relativity)
, P.T. Chruściel, H. Friedrich, Eds, Birkhaeuser, Basel,
2004, pp. 39-70
[ESI preprint 1390]
[http://arxiv.org/abs/gr-qc/0312047]
- M. Anderson, P.T. Chruściel, E. Delay:
Non-trivial,
static, geodesically complete vacuum space-times with a negative
cosmological constant II: n > 4.
Proceedings of
the
Strasbourg Meeting on AdS-CFT correspondence, O.Biquard,
Ed., IRMA
Lectures in Mathematics and Theoretical Physics 8, 165-204 (2005), de Gruyter,
Berlin, New York [http://arxiv.org/abs/gr-qc/0401081]
-
On analyticity of static vacuum metrics at non-degenerate Killing horizons
Acta Physica Polonica
B36, 17-26
(2005),
special issue on the 65th birthday of A. Staruszkiewicz [http://arxiv.org/abs/gr-qc/0402087]
-
Recent results in mathematical relativity
Proceedings of GR17, P. Florides, B. Nolan, A. Ottewill, Eds., pp. 36-55, World Scientific, Singapore 2005; based on a plenary lecture
in Dublin, July 2004 [http://arxiv.org/abs/gr-qc/0411008]
-
Black holes - an introduction
in 100 Years of Relativity
(Space-time Structure: Einstein and Beyond), A. Ashtekar, Editor, pp. 93-123, World Scientific, 2005
- P.T. Chruściel, J. Isenberg, D. Pollack:
A Brief Review of Initial Data Engineering
in Gravitation and Astrophysics,
On the Occasion of the 90th Year of General Relativity. Proceedings of the VII Asia-Pacific International Conference, November 23-26, 2005, National Central University, Taiwan.
J.M. Nester, Chiang-Mei Chen and Jong-Ping Hsu, Editors, p. 363, World Scientific, 2007
- P.T. Chruściel, J. Costa:
On uniqueness of stationary vacuum black holes
Proceedings of
Géométrie différentielle, Physique mathématique,
Mathématiques et société, Astérisque 321 (2008), 195-265
[http://arxiv.org/abs/0806.0016]
[revised version]
- Y. Choquet-Bruhat, P.T. Chruściel, J.-M. Martin-Garcia:
Einstein constraints on a characteristic cone
Proceedings of the 15th
International Conference on Waves and Stability in Continuous Media,
Palermo, 28th June to 1st July 2009
[http://arxiv.org/abs/1002.1471]
- Y. Choquet-Bruhat, P.T. Chruściel, J.M.
Martin-Garcia:
An existence theorem for the Cauchy problem on a characteristic cone for the Einstein equations
Contemporary Mathematics 554 2011, 73-81,
Proceedings of Complex
Analysis & Dynamical Systems IV,
Nahariya, Israel, May 18-22, arXiv:1006.5558 [gr-qc]
- P.T. Chruściel, J. Corvino, J. Isenberg:
Constructions of N-body time-symmetric initial data sets in general relativity
Mittag-Leffler Institute
preprint IML-0809f-41,
Contemporary Mathematics 554 2011, 83-92,
Proceedings of Complex
Analysis & Dynamical Systems IV,
Nahariya, Israel, May 18-22,
arXiv:0909.1101 [gr-qc]
- Y. Choquet-Bruhat, P.T. Chruściel, J.M.
Martin-Garcia:
An existence theorem for the Cauchy problem on the light-cone for the
vacuum Einstein equations with near-round analytic data
Proceedings of "Petrov 2010
Anniversary Symposium on General Relativity and Gravitation", held in Kazan,
Nov 2010, Uchen. Zap. Kazan.
Un-ta. Ser. Fiz.-Matem. Nauki. 153 (2011), 115-138, arXiv:1012.0777
[gr-qc]
- Y. Choquet-Bruhat, P.T. Chruściel :
Cauchy problem with data on a characteristic cone for the Einstein-Vlasov
equations
Vienna preprint UWThPh-2012-21,
Proceedings of Mario Novello´s 70th Aniversary Symposium, edited by Nelson Pinto Neto
and Santiago E. Perez Bergliaffa, Editora Livraria da Física, São Paulo (2012), 51-62 arXiv:1206.0390
[gr-qc] [pdf]
- P.T. Chruściel, J. Lopes Costa, M. Heusler:
Stationary Black Holes: Uniqueness and Beyond
Vienna preprint UWThPh-2011-26, Living Reviews 15 (2012) 7, 69 pp, arXiv:1205.6112 [gr-qc] (major update of the original version by M. Heusler, 1998)
- P.T. Chruściel:
On maximal globally hyperbolic vacuum developments
Vienna preprint UWThPh-2011-44, Journal of Fixed Point Theory and Applications 14 (2013), pp. 325-353 (a special issue in honor of Yvonne Choquet-Bruhat) , arxiv:1112.5779 [gr-qc]
- P.T. Chruściel, T. Paetz:
A2: Mathematical relativity and other progress in classical gravity theory - a session report
Vienna preprint UWThPh-2013-33,
General Relativity and Gravitation
46 (2014), 1-11,
arXiv:1311.6398 [gr-qc]
- P.T. Chruściel:
Anti-gravity à la Carlotto-Schoen
Vienna preprint UWThPh-2016-18,
Séminaire Bourbaki
1120 (2016), 1-24,
arXiv:1611.01808 [math-dg]
- L. Bieri, P.T. Chruściel:
Future-complete null hypersurfaces, interior gluings, and the Trautman-Bondi mass
Vienna preprint UWThPh-2016-24, Proceedings of the Harvard Center for Mathematical Sciences and Applications, Vol. 1 (2017) 1-31
arXiv:1612.04359 [gr-qc]
- P.T. Chruściel, P. Klinger:
The annoying null boundaries
Vienna preprint UWThPh-2017-36, Proceedings of the meeting Non-regular spacetime geometry, Florence, June 20-22, 2017,
Journal of Physics: Conference Series 968
(2018) 012003,
arXiv:1801.06037 [gr-qc]
- P.T. Chruściel:
Hyperbolic positive energy theorems
Vienna preprint UWThPh-2021-12, Proceedings of the workshop Analysis, Geometry and Topology of Positive Scalar Curvature Metrics, Oberwolfach, June 27-July 3, 2021,
arXiv:2112.01364 [math.DG]
- P.T. Chruściel:
Quo Vadis, Mathematical General Relativity?
Vienna preprint UWThPh-2021-18, Proceedings of the Oberwolfach workshop on
Mathematical Aspects of General Relativity, August 29 - September 4, 2021,
arXiv:2112.02126 [gr-qc]
- P.T. Chruściel, T. Smołka:
Hamiltonian
Charges in Spacetimes with a Positive Cosmological Constant
Vienna preprint UWThPh 2022-1,
Acta Phys. Pol. B Proc. Suppl. 15, 1-A11 (2022), Proceedings of the 7th Conference of the Polish Society on Relativity, Łódź, Poland, 20–23 September, 2021
- P.T. Chruściel, G. Galloway:
Maximal hypersurfaces in asymptotically Anti-de
Sitter spacetimes
Vienna preprint UWThPh-2022-12,
arXiv:2208.09893 [gr-qc]
Celebratio Mathematica's volume honoring Yvonne Choquet-Bruhat
- P.T. Chruściel, W. Cong:
Characteristic gluing with Λ: 1. Linearised Einstein equations on four-dimensional spacetimes
Vienna preprint UWThPh-2022-20, to appear in a volume in memory of Robert Bartnik,
arXiv:2212.10052 [gr-qc]
Papers submitted for publication
- H. Barzegar, P.T. Chruściel, F. Steininger:
On elastic deformations of cylindrical bodies under
the influence of the gravitational field
Vienna preprint UWThPh-2024-2,
arXiv:2401.16949 [physics.class-ph]
- W. Cong, P.T. Chruściel, F. Gray:
Characteristic Gluing with Λ: 2. Linearised Einstein equations in higher dimensions
Vienna preprint UWThPh-2024-02,
arXiv:2401.04442 [gr-qc]
- P.T. Chruściel, R. Wutte:
Gluing-at-infinity of two-dimensional asymptotically locally
hyperbolic manifolds
Vienna preprint UWThPh-2023-1,
arXiv:2401.04048
[gr-qc]
- P.T. Chruściel, R. Tagne Wafo, F. Gray:
The ``neighborhood theorem'' for the general relativistic characteristic Cauchy problem in higher dimensions
Vienna preprint UWThPh-2023-15,
arXiv:2305.07306 [gr-qc]
- P.T. Chruściel:
Remarks on stationary vacuum black holes
Vienna preprint UWThPh-2023-15,
arXiv:2305.07329 [gr-qc]
Miscellaneous
-
Editor's Note: Lectures on General Relativity by Andrzej Trautman
General Relativity and Gravitation
34, 715 - 719 (2002)
- R. Beig, P.T. Chruściel:
Stationary black holes
encyclopedia article in the Encyclopedia of Mathematical Physics, [http://arxiv.org/abs/gr-qc/0502041]
- Book review of 'The Action Principle and Partial Differential Equations' by Demetrios Christodoulou
General Relativity and Gravitation
35,
499 - 501 (2003)
- Book
review of 'Modern differential geometry for physicists
(second edition)' by C. Isham
Classical and Quantum Grav. 23, 4543-4544 (2006).
-
P.T. Chruściel, J. Isenberg and A.Rendall:
Mathematical Aspects of General Relativity
Oberwolfach Reports 3, 73-119 (2006)
-
Einstein online:
The many ways of building an empty model universe;
How many different kinds of black hole are there?.
-
P.T. Chruściel, J. Isenberg and A.Rendall:
Mathematical Aspects of General Relativity
Oberwolfach Reports 6, 2585–2646 (2009)
- L. Barrack et al. (199 authors):
Black holes, gravitational waves and fundamental physics: a roadmap
Contributor to, and Section coordinator of a White Paper of the European COST Action "GWverse on Black holes, Gravitational
waves and Fundamental Physics",
Classical and Quantum Gravity 36,
143001 (2019),
arXiv:1806.05195 [gr-qc]
Editorial work
- Mathematics of Gravitation, Part I: Lorentzian
Geometry and Einstein Equations
editor, Proceedings of a workshop held at the Banach Centre,
Warsaw, March 1996, Banach Centre Publications
41 (1997).
- 50 years of the Cauchy problem in General Relativity
Electronic proceedings of the summer school on mathematical general relativity and
global properties of solutions of Einstein's equations,
Cargèse, Corsica, France,
July 29 - August 10, 2002
-
The
Einstein Equations and the Large Scale Behavior of Gravitational
Fields (50 Years of the Cauchy Problem in General
Relativity)
co-editor with H. Friedrich, Birkhaeuser, Basel 2004.
- The Cauchy problem in general relativity
(sectional) co-editor with Jim Isenberg of a series of articles for the Modern Encyclopedia of Mathematical
Physics, Springer, in preparation.
- Proceedings of the Harvard Center for Mathematical Sciences and Applications, Vol. 1
co-editor with Lydia Bieri and Shing-Tung Yau, International Press, Boston (2017).
- Non-regular spacetime geometry
Proceedings of a seminar held in Firenze, June 20-22, co-editor with J. Grant,
M. Kunzinger and
E. Minguzzi, Journal of Physics, Conference Series 968 (2018)
- Two volumes in honor of Robert Bartnik
Pure and Applied Mathematics Quarterly (2019), Volume 15 Number 2 and 16 Number 3
co-editor with Jim Isenberg and Shing-Tung Yau.
-
Selected Works of Robert A. Bartnik
co-editor with Jim Isenberg and Shing-Tung Yau, International Press, Boston (2021).
Work in progress
- P.T. Chruściel, W. Cong, F. Gray:
Characteristic Gluing with Λ: 3. Nonlinear Einstein equations in four dimensions
- R. Beig, P.T. Chruściel, M. Mars:
On analyticity of stationary black hole metrics
- R. Beig, P.T. Chruściel:
On the Corvino-Schoen gluing
- Aspects of mathematical relativity
monograph based on lectures held at various summer schools (see also various lecture notes at the end of this page)
Unpublished
- P.T. Chruściel, E. Delay:
The hyperbolic positive energy theorem
Vienna preprint UWThPh-2019-3,
arXiv:1901.05263 [math.DG]
- P.T. Chruściel, M. Mars:
Analyticity of stationary spacetimes from maximal hypersurfaces
Vienna preprint UWThPh-2022-9,
arXiv:2212.11798 [gr-qc]
- Conformally Minimal Foliations of Three
Dimensional Riemannian Manifolds and the Energy of the
Gravitational Field
preprint IM PAN 354, pp. 1-103, January 1986 (PhD
Thesis).
- Quelques inégalités dans les espaces de
Sobolev
à poids
Université de Tours preprint (1987).
-
Polyhomogeneous expansions at the boundary for some
blowing-up solutions of a class of semi-linear
equations
Université de Tours preprint 136/96 (1996).
- P.T. Chruściel, J.Isenberg, D.Pollack:
Space-time engineering
This is a general-enlightened-public version of the
initial-data-gluing papers, December 2003.
- P.T. Chruściel, R. Meinel, S.J. Szybka:
The Ernst equation and ergosurfaces
Newton Institute preprint NI05081-GMR (Dec 2005);
superseded
by a paper (see above) with Greuel, same title [http://arxiv.org/abs/gr-qc/0603041].
- P.T. Chruściel:
On periodic solutions of nonlinear wave equations, including Einstein equations with a negative cosmological constant
Vienna preprint UWThPh-2017-41,
arXiv:1711.11261 [gr-qc]
- P.T. Chruściel, G. Galloway:
Roads to topological censorship
Vienna preprint UWThPh-2019-17,
arXiv:1906.02151 [gr-qc]
published as part of the section on topological censorship in the book
Geometry of black holes, Oxford University Press, 2020
-
Beijing lecture notes on mathematical relativity (as revised
in Marrakech)
July 2006, revised May 2008,
revised and expanded parts of these notes have been published in the books
Elements of general relativity ,
Birkhäuser Compact Textbooks in Mathematics (2020), and Geometry of black holes, Oxford University Press, 2020
- P.T. Chruściel:
Elements of causality theory
Vienna preprint UWThPh-2011-32, arXiv:1110.6706 [gr-qc]
a revised and expanded version has been published as a chapter in the book Geometry of black holes, Oxford University Press, 2020
- P.T. Chruściel:
Cauchy problems for the Einstein equations:
an Introduction
Roscoff lecture notes, expanded and revised in June 2011
- P.T. Chruściel:
Energy in general relativity
Cracow lecture notes, expanded and revised in February 2013
- P.T. Chruściel:
Geometry of black holes
Cracow lecture notes, expanded and revised in June 2018,
a revised and expanded version appeared as the book Geometry of black holes, Oxford University Press, 2020,
- P.T. Chruściel, S. Szybka:
A phenomenological algorithm for short-range predictions of the Covid-19 pandemic 2020
medRxiv preprint doi: https://doi.org/10.1101/2020.05.22.20098350
- P.T. Chruściel, S. Szybka:
Universal properties of the dynamics of the Covid-19 pandemic
medRxiv preprint doi: https://doi.org/10.1101/2020.08.24.20181214
- P.T. Chruściel, S. Szybka:
On the lag between deaths and infections in the first phase of the Covid-19 pandemic
medRxiv preprint doi: https://doi.org/10.1101/2021.01.01.21249115