A Gibbons-Penrose Inequality for Surfaces in Schwarzschild Spacetime

被引：17

作者：

Brendle, Simon ^{[1
]}

Wang, Mu-Tao ^{[2
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[2] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2014年 / 330卷 / 01期

基金：

美国国家科学基金会;

关键词：

QUASI-LOCAL MASS; ISOPERIMETRIC INEQUALITY; BLACK-HOLES;

D O I：

10.1007/s00220-014-1972-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a geometric inequality for two-dimensional spacelike surfaces in the Schwarzschild spacetime. This inequality implies the Penrose inequality for collapsing dust shells in general relativity, as proposed by Penrose and Gibbons. We prove that the inequality holds in several important cases.

引用

页码：33 / 43

页数：11

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