A Gibbons-Penrose Inequality for Surfaces in Schwarzschild Spacetime

作者:Brendle Simon*; Wang Mu Tao
来源:Communications in Mathematical Physics, 2014, 330(1): 33-43.
DOI:10.1007/s00220-014-1972-6

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.

  • 出版日期2014-8