Spherically symmetric spacetimes with a trapped surface

Classical and Quantum Gravity

Volumn 22, Issue 11, 2005, Pages 2221-2232

  Dafermos, Mihalis ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344449735     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/11/019     Document Type: Article

References (17)

1. Christodoulou D 1999 The instability of naked singularities in the gravitational collapse of a scalar field Ann. Math. 149 183-217
2. Christodoulou D 1999 On the global initial value problem and the issue of singularities Class. Quantum Grav. 16 A23-A35
3. Christodoulou D 1995 Self-gravitating relativistic fluids: a two-phase model Arch. Ration. Mech. Anal. 130 343-400
4. Christodoulou D 1992 Bounded variation solutions of the spherically symmetric Einstein-scalar field equations Commun. Pure Appl. Math. 46 1131-220
5. Christodoulou D 1991 The formation of black holes and singularities in spherically symmetric gravitational collapse Commun. Pure Appl. Math. 44 339-73
6. Christodoulou D 1986 The problem of a self-gravitating scalar field Commun. Math. Phys. 105 337-61
7. Dafermos M 2003 Stability and instability of the Cauchy horizon for the spherically-symmetric Einstein-Maxwell-scalar field equations Ann. Math. 158 875-928
8. Dafermos M 2005 The interior of charged black holes and the problem of uniqueness in general relativity Commun. Pure Appl. Math. 58 445-504
9. Dafermos M and Rodnianski I 2003 A proof of Price's law for the collapse of a self-gravitating scalar field Preprint gr-qc/0309115 Invent. Math. (to be published)
10. Dafermos M 2004 On naked singularities and the collapse of self-gravitating Higgs fields Preprint gr-qc/0403033 (Ann. H Poincaré to be published)
11. Dafermos M and Rendall A D 2004 An extension principle for the Einstein-Vlasov system under spherical symmetry Preprint gr-qc/0411075
12. Hawking S W and G F R 1973 The Large Scale Structure of Space-Time (Cambridge Monographs on Mathematical Physics No 1) (London: Cambridge University Press)
13. Malec E and Ó Murchadha N 1994 Trapped surfaces and the Penrose inequality in spherically symmetric geometries Phys. Rev. D 49 6931-4
14. Penrose R 1965 Gravitational collapse and space-time singularities Phys. Rev. Lett. 14 57-9
15. Penrose R 1968 Structure of space-time Battelle Rencontres ed C M de Witt and J A Wheeler (New York: Benjamin)
16. Rein G, Rendall A and Schaeffer J 1995 A regularity theorem for solutions of the spherically symmetric Vlasov-Einstein system Commun. Math. Phys. 168 467-78
17. Rendall A 1997 An introduction to the Einstein-Vlasov system Mathematics of Gravitation: Part I (Warsaw 1996) vol 41 (Warsaw: Banach Center Publications) pp 35-68