THE HOOP CONJECTURE AND THE GIBBONS-PENROSE CONSTRUCTION OF TRAPPED SURFACES

被引：31

作者：

TOD, KP ^{[1
]}

机构：

[1] ST JOHNS COLL,OXFORD OX1 3LB,ENGLAND

来源：

CLASSICAL AND QUANTUM GRAVITY | 1992年 / 9卷 / 06期

关键词：

D O I：

10.1088/0264-9381/9/6/014

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The hoop conjecture of Thorne is studied for trapped surfaces produced by a construction of Gibbons and Penrose. Some formulations of the conjecture are proved and others are shown to be false. It is also shown how cylindrical trapped surfaces may form in cylindrical collapse.

引用

页码：1581 / 1591

页数：11

共 7 条

[1] Trapped surfaces in prolate collapse in the Gibbons-Penrose construction
Pelath, MA
Tod, KP
Wald, RM
[J]. CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (12) : 3917 - 3934
[2] A Gibbons-Penrose Inequality for Surfaces in Schwarzschild Spacetime
Brendle, Simon
Wang, Mu-Tao
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 330 (01) : 33 - 43
[3] HOOP CONJECTURE AND TRAPPED SURFACES IN NONSPHERICAL MASSIVE SYSTEMS
MALEC, E
[J]. PHYSICAL REVIEW LETTERS, 1991, 67 (08) : 949 - 952
[4] TRAPPED SURFACES IN NONSPHERICAL INITIAL DATA SETS AND THE HOOP CONJECTURE
FLANAGAN, E
[J]. PHYSICAL REVIEW D, 1992, 46 (04): : 1429 - 1439
[5] A Gibbons–Penrose Inequality for Surfaces in Schwarzschild Spacetime
Simon Brendle
Mu-Tao Wang
[J]. Communications in Mathematical Physics, 2014, 330 : 33 - 43
[6] TRAPPED SURFACES AND THE PENROSE INEQUALITY IN SPHERICALLY SYMMETRICAL GEOMETRIES
MALEC, E
OMURCHADHA, N
[J]. PHYSICAL REVIEW D, 1994, 49 (12): : 6931 - 6934
[7] Formation of dynamically transversely trapping surfaces and the stretched hoop conjecture
Yoshino, Hirotaka
Izumi, Keisuke
Shiromizu, Tetsuya
Tomikawa, Yoshimune
[J]. PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2020, 2020 (05):

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