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L. Andersson and P.T. Chrusciel, On ``hyperboloidal'' Cauchy data for
vacuum Einstein equations and obstructions to smoothness of null infinity,
Phys. Rev. Lett. 70 (1993), 2829-2832.
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L. Andersson and P.T. Chrusciel, On asymptotic behavior of solutions
of the constraint equations in general relativity with ``hyperboloidal
boundary conditions'', Dissert. Math. 355 (1996), 1-100.
- 3
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L. Andersson, P.T. Chrusciel, and H. Friedrich, On the regularity of
solutions to the Yamabe equation and the existence of smooth hyperboloidal
initial data for Einsteins field equations, Commun. Math. Phys.
149 (1992), 587-612.
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A. Ashtekar and R.O. Hansen, A unified treatment of null and spatial
infinity in general relativity. I. Universal structure, asymptotic
symmetries and conserved quantities at spatial infinity, Jour. Math. Phys.
19 (1978), 1542-1566.
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R. Bartnik, The mass of an asymptotically flat manifold, Comm. Pure
Appl. Math. 39 (1986), 661-693.
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R. Beig, P.T. Chrusciel, and R. Schoen, KIDs are non-generic,
Annales Henri Poincaré, in press, (2004), gr-qc/0403042.
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B. Berger, P.T. Chrusciel, and V. Moncrief, On asymptotically flat
space-times with invariant Cauchy surfaces, Annals of Phys.
237 (1995), 322-354, gr-qc/9404005.
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H. Bondi, M.G.J. van der Burg, and A.W.K. Metzner, Gravitational waves in
general relativity VII: Waves from axi-symmetric isolated systems, Proc.
Roy. Soc. London A 269 (1962), 21-52.
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G. Bunting and A.K.M. Masood-ul-Alam, Nonexistence of multiple black
holes in asymptotically euclidean static vacuum space-time, Gen. Rel.
Grav. 19 (1987), 147-154.
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P.T. Chrusciel, Boundary conditions at spatial infinity from a
Hamiltonian point of view, Topological Properties and Global Structure of
Space-Time (P. Bergmann and V. de Sabbata, eds.), Plenum Press, New York,
1986, pp. 49-59, URL http://www.phys.univ-tours.fr/ piotr/scans.
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to3em, On the invariant mass conjecture in general relativity,
Commun. Math. Phys. 120 (1988), 233-248.
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to3em, On the structure of spatial infinity: II. Geodesically
regular Ashtekar-Hansen structures, Jour. Math. Phys. 30
(1989), 2094-2100.
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P.T. Chrusciel, On uniqueness in the large of solutions of Einstein
equations (``Strong Cosmic Censorship''), Australian National
University Press, Canberra, 1991.
- 14
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to3em, Semi-global existence and convergence of solutions of the
Robinson-Trautman (2-dimensional Calabi) equation, Commun. Math. Phys.
137 (1991), 289-313.
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to3em, On the global structure of Robinson-Trautman space-times,
Proc. Roy. Soc. London A 436 (1992), 299-316.
- 16
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P.T. Chrusciel, Uniqueness of black holes revisited, Helv. Phys.
Acta 69 (1996), 529-552, Proceedings of Journés Relativistes
1996, Ascona, May 1996, N. Straumann,Ph. Jetzer and G. Lavrelashvili (Eds.),
gr-qc/9610010.
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to3em, On rigidity of analytic black holes, Commun. Math. Phys.
189 (1997), 1-7, gr-qc/9610011.
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to3em, The classification of static vacuum space-times containing an
asymptotically flat spacelike hypersurface with compact interior, Class.
Quantum Grav. 16 (1999), 661-687, gr-qc/9809088.
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to3em, Towards the classification of static electro-vacuum
space-times containing an asymptotically flat spacelike hypersurface with
compact interior, Class. Quantum Grav. 16 (1999), 689-704,
gr-qc/9810022.
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to3em, A poor man's positive energy theorem: II. Null geodesics,
Class. Quantum Grav. 21 (2004), 4399-4416, gr-qc/0406077.
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P.T. Chrusciel and E. Delay, Existence of non-trivial asymptotically
simple vacuum space-times, Class. Quantum Grav. 19 (2002),
L71-L79, gr-qc/0203053, erratum-ibid, 3389.
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to3em, On mapping properties of the general relativistic constraints
operator in weighted function spaces, with applications, Mém. Soc.
Math. de France. 94 (2003), 1-103, gr-qc/0301073v2.
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P.T. Chrusciel, E. Delay, G. Galloway, and R. Howard, Regularity of
horizons and the area theorem, Annales Henri Poincaré 2 (2001),
109-178, gr-qc/0001003.
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P.T. Chrusciel and G.J. Galloway, Horizons non-differentiable on
dense sets, Commun. Math. Phys. 193 (1998), 449-470,
gr-qc/9611032.
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to3em, A poor man's positive energy theorem, Class. Quantum Grav.
21 (2004), L59-L63, gr-qc/0402106.
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P.T. Chrusciel, J. Isenberg, and D. Pollack, Gluing initial data sets
for general relativity, Phys. Rev. Lett. 93 (2004), 081101,
gr-qc/0409047.
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to3em, Initial data engineering, (2004), gr-qc/0403066.
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P.T. Chrusciel, J. Jezierski, and M. MacCallum, Uniqueness of the
Trautman-Bondi mass, Phys. Rev. D 58 (1998), 084001 (16
pp.), gr-qc/9803010.
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P.T. Chrusciel and W. Kondracki, On some global charges in classical
Yang-Mills theory, Phys. Rev. D36 (1987), 1874-1881.
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P.T. Chrusciel and K. Lake, Cauchy horizons in Gowdy space times,
Class. Quantum Grav. 21 (2004), S153-S170, gr-qc/0307088.
- 31
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P.T. Chrusciel and O. Lengard, Solutions of wave equations in the
radiating regime, Bull. Soc. Math. de France (2003), in press,
math.AP/0202015.
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P.T. Chrusciel, M.A.H. MacCallum, and D. Singleton, Gravitational
waves in general relativity. XIV: Bondi expansions and the
``polyhomogeneity'' of Scri, Phil. Trans. Roy. Soc. London A 350
(1995), 113-141.
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P.T. Chrusciel and R. Mazzeo, On ``many-black-hole'' vacuum
spacetimes, Class. Quantum Grav. 20 (2003), 729-754,
gr-qc/0210103.
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P.T. Chrusciel and A. Rendall, Strong cosmic censorship in vacuum
space-times with compact, locally homogeneous Cauchy surfaces, Annals of
Phys. 242 (1995), 349-385.
- 35
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P.T. Chrusciel and J. Shatah, Global existence of solutions of the
Yang-Mills equations on globally hyperbolic four dimensional
Lorentzian manifolds, Asian Journal of Math. 1 (1997), 530-548.
- 36
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P.T. Chrusciel and R.M. Wald, On the topology of stationary black
holes, Class. Quantum Grav. 11 (1994), L147-152.
- 37
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D.M. Eardley and V. Moncrief, The global existence of
Yang-Mills-Higgs fields in -dimensional Minkowski space. II.
Completion of proof, Commun. Math. Phys. 83 (82), no. 2,
193-212.
- 38
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H. Friedrich, On the existence of n-geodesically complete or future
complete solutions of Einstein's field equations with smooth asymptotic
structure, Commun. Math. Phys. 107 (1986), 587-609.
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S.W. Hawking and G.F.R. Ellis, The large scale structure of space-time,
Cambridge University Press, Cambridge, 1973.
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W. Israel, Event horizons in static vacuum space-times, Phys. Rev.
164 (1967), 1776-1779.
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S. Klainerman and M. Machedon, Finite energy solutions of the
Yang-Mills equations in
, Ann. of Math. 142
(1995), 39-119.
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R. Penrose, Asymptotic properties of fields and space-times, Phys. Rev.
Letters 10 (1963), 66-68.
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to3em, Light rays near : a new mass-positivity theorem, Twistor
Newsletter 30 (1990), 1-5.
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R. Penrose, R.D. Sorkin, and E. Woolgar, A positive mass theorem based on
the focusing and retardation of null geodesics, (1993), gr-qc/9301015.
- 45
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H. Ringström, Lecture at the Miami Waves conference, January 2004.
- 46
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R. Sachs, Gravitational waves in general relativity VIII. Waves in
asymptotically flat space-time, Proc. Roy. Soc. London A 270
(1962), 103-126.
Piotr Chrusciel
2004-10-28