Black Hole Formation from a Complete Regular Past

被引：0
作者：
Mihalis Dafermos
机构：
[1] University of Cambridge,Department of Pure Mathematics and Mathematical Statistics
来源：
Communications in Mathematical Physics | 2009年 / 289卷
关键词：
Gravitational Collapse; Cauchy Surface; Cauchy Data; Black Hole Formation; Small Initial Data;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An open problem in general relativity has been to construct an asymptotically flat solution to a reasonable Einstein-matter system containing a black hole and yet causally geodesically complete to the past, containing no white holes. We construct such a solution in this paper–in fact a family of such solutions, stable in a suitable sense–where matter is described by a self-gravitating scalar field.
引用
收藏
相关论文
共 26 条
  • [1] Andréasson H.(2003)On the Einstein-Vlasov system with hyperbolic symmetry Math. Proc. Cambridge Philos. Soc. 134 529-549
  • [2] Rein G.(1969)Global aspects of the Cauchy problem in general relativity Commum. Math. Phys. 14 329-335
  • [3] Rendall A.D.(1987)A mathematical theory of gravitational collapse Commum. Math. Phys. 109 613-647
  • [4] Choquet-Bruhat Y.(1999)The instability of naked singularities in the gravitational collapse of a scalar field Ann. of Math. 149 183-217
  • [5] Geroch R.(1999)On the global initial value problem and the issue of singularities Class. Quant. Grav. 16 A23-A35
  • [6] Christodoulou D.(1992)Bounded variation solutions of the spherically symmetric Einstein-scalar field equations Comm. Pure Appl. Math 46 1131-1220
  • [7] Christodoulou D.(1991)The formation of black holes and singularities in spherically symmetric gravitational collapse Comm. Pure Appl. Math. 44 339-373
  • [8] Christodoulou D.(1986)The problem of a self-gravitating scalar field Commun. Math. Phys. 105 337-361
  • [9] Christodoulou D.(1993)On the regularity of spherically symmetric wave maps Comm. Pure Appl. Math 46 1041-1091
  • [10] Christodoulou D.(2003)On “time-periodic” black-hole solutions to certain spherically symmetric Einstein-matter systems Commum Math. Phys. 238 411-427
123