Proceedings of the Centre for Mathematical Analysis, Volume 27, Australian National University (1991)
Hamiltonian field theory in the radiating regime
Springer Lecture Notes in Physics m70 (2002)
Birkhäuser Compact Textbooks in Mathematics (2020)
Oxford University Press (2020)
Research monographs
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].
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]
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
Acta Physica Polonica B12, 719-737 (1981).
Acta Physica Polonica B15, 35-51 (1984).
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].
Comptes Rendus de l' Académie des Sciences de Paris (série I) 299, 891-894 (1984) [pdf].
Annales Institut H.Poincaré 42, 267-282 (1985) [scanned pages (jpg.gz)].
Annales Institut H.Poincaré 42, 329-340 (1985).
Comptes Rendus de l' Académie des Sciences de Paris (série I) 301, 609-612 (1985) [pdf].
letter to Classical and Quantum Gravity 3, L115-L121 (1986) [pdf] [ps], Corrigendum 4, 1049 (1987) [pdf] [ps]
letter to Classical and Quantum Gravity 4, L205-L210 (1987) [pdf] [ps].
On Some Global Charges in Classical Yang-Mills Theory
Physical Review D36, 1874-1881 (1987) [pdf file (0,7 M)].
Comptes Rendus de l' Académie des Sciences de Paris (série I) 305, 797-800 (1987) [pdf].
Yale preprint YCTP G1-88, Communications in Mathematical Physics 120, 233-248 (1988).
Yale preprint YCTP-G6-88, Journal of Mathematical Physics 30, 2090-2093 (1989) [pdf] [ps]
Yale preprint YCTP-G1-89, Journal of Mathematical Physics 30, 2094-2100 (1989) [pdf] [ps].
CMA ANU Research Report CMA-R27-88, Annales de la Faculté des Sciences de Toulouse XI, 21-37 (1990).
On Maximal Hypersurfaces in Asymptotically Flat Space-Times
CMA ANU Research Report CMA-R44-88, Communications in Mathematical Physic Physics 130, 95-109 (1990).
Symmetric Compact Cauchy Surfaces
Yale preprint YCTP-G5-89, Annals of Physics (NY) 202, 100-150 (1990) [scanned pages (pdf)].
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].
CMA ANU Research Report CMA-R23-90, Communications in Mathematical Physics 137, 289-313 (1991) [scanned pages (jpg.gz)].
CMA ANU Research Report CMA-R23-90, Proc. Royal Society of London A436, 299-316 (1992) [scanned pages (jpg.gz)].
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)].
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].
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].
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)].
ITP preprint NSF-ITP-93-44, Classical and Quantum Gravity 10, 2091-2101 (1993) [http://arxiv.org/abs/gr-qc/9304029] [pdf] [ps].
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].
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].
On the topology of black holes
Classical and Quantum Gravity 11, L147-L152 (1994) [http://arxiv.org/abs/gr-qc/9410004] [pdf] [ps].
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].
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].
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].
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].
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].
On the stability of differentiability of Cauchy horizons
Tours preprint 106/95, Communications in Analysis and Geometry 5, 249-277 (1997).
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].
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].
Tours preprint 131/96, Communications in Mathematical Physics, 189, 1-7 (1997) [http://arxiv.org/abs/gr-qc/9610011] [pdf] [ps].
Global foliations of vacuum spacetimes with
isometryAnnals of Physics (NY) 260, 117-148 (1997) [http://arxiv.org/abs/gr-qc/9702007] [pdf] [ps].
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.
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].
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].
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].
Tours preprint 153/97, Classical and Quantum Gravity 15, 3845-3848 (1998) [http://arxiv.org/abs/gr-qc/9807059] [pdf] [ps].
MPI Golm preprint AEI-094, Classical and Quantum Gravity 16, 661-687 (1999) [http://arxiv.org/abs/gr-qc/9809088] [pdf] [ps] [Corrigendum (pdf)].
MPI Golm preprint AEI-095, Classical and Quantum Gravity 16, 689-704 (1999) [http://arxiv.org/abs/gr-qc/9810022] [pdf] [ps] [Corrigendum (pdf)].
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].
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].
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].
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].
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]
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].
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]
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]
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]
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]
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].
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]
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]
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]
A poor man's positive energy theorem
letter to Classical and Quantum Gravity 21, L59 - L63 (2004) [http://arxiv.org/abs/gr-qc/0402106]
Gluing initial data sets for general relativity
Physical Review Letters 93 081101 (2004) [http://arxiv.org/abs/gr-qc/0409047]
Classical and Quantum Gravity 21, 4399-4415 (2004). [http://arxiv.org/abs/gr-qc/0406077]
KIDs are non-generic
ESI preprint 1464, Annales Henri Poincaré 6, 155 - 194 (2005) [http://arxiv.org/abs/gr-qc/0403042]
On potentials for the curvature tensor on three dimensional manifolds
General Relativity and Gravitation 37, 891-905 (2005).
Initial data engineering
Communications in Mathematical Physics 257, 29-42 (2005) [http://arxiv.org/abs/gr-qc/0403066]
Boundary regularity of conformally compact Einstein metrics
Journal of Differential Geometry 69, 111-136 (2005) [http://arxiv.org/abs/math.DG/0401386]
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]
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]
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]
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]
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]
The Ernst equation and ergosurfaces
preprint AEI-2006-014, Classical and Quantum Gravity 23, 4399-4414 (2006) [http://arxiv.org/abs/gr-qc/0603041]
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]
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]
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]
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]
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]
On the Ernst electro-vacuum equations and ergosurfaces
Acta Physica Polonica B39, 59-74 (2008) [http://arxiv.org/abs/0708.1169]
On Mason's rigidity theorem
Communications in Mathematical Physics, 285, 1-29 (2009) [arXiv:0712.3846]
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]
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]
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]
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]
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]
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
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]
Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature
Communications in Analysis and Geometry 17 (2009) 343-381, arXiv:0711.1557 [gr-qc]
An angular momentum bound at null infinity
Advances in Mathematical and Theoretical Physics 13 (2009) 1317–1334, arXiv:0706.4057 [gr-qc]
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]
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
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]
Conformal Boundary Extensions of Lorentzian Manifolds
preprint AEI-2006-039, Journal of Differential Geometry 84 (2010) 19-44, [arXiv:gr-qc/0606101]
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]
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]
A uniqueness theorem for degenerate Kerr-Newman black holes
Annales Henri Poincaré 11 (2010), 585-609, arXiv:1002.1737 [gr-qc]
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]
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]
Initial data for the relativistic gravitational N-body problem
Classical Quantum Gravity (Fast Track Communication) 27 (2010) 222002 (6 pp)
Constructions of N-body initial data sets in general relativity
Communications in Mathematical Physics 304, 637–647 (2011), arXiv:1004.1355 [gr-qc]
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]
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]
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]
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]
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]
On the geometry of Pomeransky-Senkov black holes
Advances in Mathematical and Theoretical Physics 14 (2010) 1779–1856, arXiv:0911.0802 [gr-qc]
Stable causality of the Pomeransky-Senkov black holes
Advances in Mathematical and Theoretical Physics 15 (2011) 175–178, arXiv:1010.0213 [hep-th]
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]
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]
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]
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]
Space-time diagrammatics
Vienna preprint UWThPh-2012-24, Physical Review D (2012) 86, 124041 (20 pp) arXiv:1211.1718 [gr-qc]
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]
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]
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]
KIDs like cones
Vienna preprint UWThPh-2013-8, Classical and Quantum Gravity 30 (2013) 235036 (24pp), arxiv:1305.7468 [gr-qc]
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]
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]
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]
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]
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]
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]
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]
On differentiability of volume time functions
Vienna preprint UWThPh-2013-1, Annales Henri Poincaré 17 (2016) 2801–2824, arXiv:1301.2909 [gr-qc]
Bifurcating solutions of the constraint equations
Vienna Preprint UWThPh-2014-21, Annales Henri Poincaré online first (2016) 1-37, arXiv:1506.00101 [gr-qc]
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]
Exotic hyperbolic gluings
Vienna preprint UWThPh-2015-31, Journal of Differential Geometry 108 (2018) 243-293, arXiv:1511.07858 [gr-qc]
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]
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]
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
Shielding linearised gravity
Vienna preprint UWThPh-2016-31, Physical Review D (2017) 95 064063 ,9 pp., arXiv:1701.00486 [gr-qc]
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]
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]
Vienna preprint UWThPh-2016-25, Classical and Quantum Gravity (2017) 34, no 14, 145016, arXiv:1612.04523 [gr-qc]
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]
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]
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]
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]
On energy in higher dimensional space-times
Vienna Preprint UWThPh-2017-24, Physical Review D96 (2017) 124002 (25 pp.), arXiv:1708.03122 [gr-qc]
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]
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]
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]
Weakly gravitating isotropic waveguides
Vienna Preprint UWThPh-2018-9, Classical and Quantum Gravity 35 24 (2018) 244001 (32 pp.), arXiv:1807.04156 [gr-qc]
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]
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]
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]
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]
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]
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]
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]
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]
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]
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]
Asymptotic flatness in higher dimensions
Vienna preprint UWThPh-2021-30, Journal of Mathematical Physics 63 (2022) 032501; , arXiv:2112.13140 [gr-qc]
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]
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]
No Proca photons
Vienna preprint UWThPh-2022-5, Physical Review D 107 (2023) 056013, arXiv:2212.12408 [physics.class-ph]
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]
Gluing variations
Vienna preprint UWThPh-2023-4, Classical and Quantum Gravity 40 (2023) 165009, arXiv:2302.06928 [gr-qc]
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]
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]
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
Proceedings of the IVth Marcel Grossmann Meeting, Rome, June 1985, ed. by R. Ruffini, pp. 1643-1649, Elsevier Science Publ., Amsterdam 1986.
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].
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].
Contemporary Mathematics 132, 235-273 (1992).
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.
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].
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] .
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].
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].
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).
Proceedings of the symposium "100 years Werner Heisenberg", Bamberg, Septembre 2001, Fortschritte der Physik 50, 624-629 (2002).
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]
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]
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]
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]
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]
Acta Physica Polonica B36, 17-26 (2005), special issue on the 65th birthday of A. Staruszkiewicz [http://arxiv.org/abs/gr-qc/0402087]
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]
in 100 Years of Relativity (Space-time Structure: Einstein and Beyond), A. Ashtekar, Editor, pp. 93-123, World Scientific, 2005
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
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]
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]
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]
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]
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]
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]
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)
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]
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]
Anti-gravity à la Carlotto-Schoen
Vienna preprint UWThPh-2016-18, Séminaire Bourbaki 1120 (2016), 1-24, arXiv:1611.01808 [math-dg]
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]
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]
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]
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]
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
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
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
On elastic deformations of cylindrical bodies under the influence of the gravitational field
Vienna preprint UWThPh-2024-2, arXiv:2401.16949 [physics.class-ph]
Characteristic Gluing with Λ: 2. Linearised Einstein equations in higher dimensions
Vienna preprint UWThPh-2024-02, arXiv:2401.04442 [gr-qc]
Gluing-at-infinity of two-dimensional asymptotically locally hyperbolic manifolds
Vienna preprint UWThPh-2023-1, arXiv:2401.04048 [gr-qc]
The ``neighborhood theorem'' for the general relativistic characteristic Cauchy problem in higher dimensions
Vienna preprint UWThPh-2023-15, arXiv:2305.07306 [gr-qc]
Remarks on stationary vacuum black holes
Vienna preprint UWThPh-2023-15, arXiv:2305.07329 [gr-qc]
Miscellaneous
General Relativity and Gravitation 34, 715 - 719 (2002)
Stationary black holes
encyclopedia article in the Encyclopedia of Mathematical Physics, [http://arxiv.org/abs/gr-qc/0502041]
General Relativity and Gravitation 35, 499 - 501 (2003)
Classical and Quantum Grav. 23, 4543-4544 (2006).
Mathematical Aspects of General Relativity
Oberwolfach Reports 3, 73-119 (2006)
The many ways of building an empty model universe; How many different kinds of black hole are there?.
Mathematical Aspects of General Relativity
Oberwolfach Reports 6, 2585–2646 (2009)
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
editor, Proceedings of a workshop held at the Banach Centre, Warsaw, March 1996, Banach Centre Publications 41 (1997).
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
co-editor with H. Friedrich, Birkhaeuser, Basel 2004.
(sectional) co-editor with Jim Isenberg of a series of articles for the Modern Encyclopedia of Mathematical Physics, Springer, in preparation.
co-editor with Lydia Bieri and Shing-Tung Yau, International Press, Boston (2017).
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)
Pure and Applied Mathematics Quarterly (2019), Volume 15 Number 2 and 16 Number 3
co-editor with Jim Isenberg and Shing-Tung Yau.
co-editor with Jim Isenberg and Shing-Tung Yau, International Press, Boston (2021).
Work in progress
Characteristic Gluing with Λ: 3. Nonlinear Einstein equations in four dimensions
On analyticity of stationary black hole metrics
On the Corvino-Schoen gluing
monograph based on lectures held at various summer schools (see also various lecture notes at the end of this page)
Unpublished
The hyperbolic positive energy theorem
Vienna preprint UWThPh-2019-3, arXiv:1901.05263 [math.DG]
Analyticity of stationary spacetimes from maximal hypersurfaces
Vienna preprint UWThPh-2022-9, arXiv:2212.11798 [gr-qc]
preprint IM PAN 354, pp. 1-103, January 1986 (PhD Thesis).
Université de Tours preprint (1987).
Université de Tours preprint 136/96 (1996).
Space-time engineering
This is a general-enlightened-public version of the initial-data-gluing papers, December 2003.
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].
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]
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
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
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
Cauchy problems for the Einstein equations: an Introduction
Roscoff lecture notes, expanded and revised in June 2011
Energy in general relativity
Cracow lecture notes, expanded and revised in February 2013
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,
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
Universal properties of the dynamics of the Covid-19 pandemic
medRxiv preprint doi: https://doi.org/10.1101/2020.08.24.20181214
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