HOOP CONJECTURE FOR BLACK-HOLE HORIZON FORMATION

被引：45
作者：
FLANAGAN, E
机构：
[1] Theoretical Astrophysics, California Institute of Technology, Pasadena
来源：
PHYSICAL REVIEW D | 1991年 / 44卷 / 08期
关键词：
D O I：
10.1103/PhysRevD.44.2409
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The hoop conjecture was proposed by Thorne in 1972 as a loosely formulated, necessary and sufficient condition for the formation of a horizon in nonspherical gravitational collapse. In this paper we discuss some issues that arise in formulating various precise interpretations of the conjecture, and review some of the small amount of literature that has appeared on this subject. We further specialize the conjecture to static, vacuum, axisymmetric spacetimes and show that it is satisfied in three particular cases of such spacetimes. We also prove a theorem for oblate geometries giving a sufficient condition for the conjecture to be satisfied.
引用
收藏
页码：2409 / 2420
页数：12
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