A Gibbons–Penrose Inequality for Surfaces in Schwarzschild Spacetime

被引：0
|
作者：
Simon Brendle
Mu-Tao Wang
机构：
[1] Stanford University,Department of Mathematics
[2] Columbia University,Department of Mathematics
来源：
Communications in Mathematical Physics | 2014年 / 330卷
关键词：
Fundamental Form; Minkowski Spacetime; Curvature Vector; Spacelike Hypersurface; Null Hypersurface;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：33 / 43
页数：10
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