ON THE TOPOLOGY OF STATIONARY BLACK-HOLES

被引：93

作者：

CHRUSCIEL, PT

WALD, RM

机构：

[1] MAX PLANCK INST ASTROPHYS,D-85740 GARCHING,GERMANY

[2] UNIV CHICAGO,DEPT PHYS,CHICAGO,IL 60637

[3] UNIV CHICAGO,ENRICO FERMI INST,CHICAGO,IL 60637

来源：

CLASSICAL AND QUANTUM GRAVITY | 1994年 / 11卷 / 12期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1088/0264-9381/11/12/001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We prove that the domain of outer communication of a stationary, globally hyperbolic spacetime satisfying the null energy condition must be simply connected. Under suitable additional hypotheses, this implies, in particular, that each connected component of a cross section of the event horizon of a stationary black hole must have spherical topology.

引用

页码：L147 / L152

页数：6

共 19 条

[1]

BEIG R, 1994, UNPUB KILLING VECTOR

[2]

Carter B., 1979, General relativity. An Einstein centenary survey, P294

[3] ON COMPLETENESS OF ORBITS OF KILLING VECTOR-FIELDS [J].