A Gibbons-Penrose inequality for surfaces in Schwarzschild spacetime
Mathematical Physics
2015-06-15 v3 General Relativity and Quantum Cosmology
Differential Geometry
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1303.1863,
title = {A Gibbons-Penrose inequality for surfaces in Schwarzschild spacetime},
author = {Simon Brendle and Mu-Tao Wang},
journal= {arXiv preprint arXiv:1303.1863},
year = {2015}
}
Comments
11 pages. Final version. To appear in Communications in Mathematical Physics