On isoperimetric surfaces in general relativity

被引：18

作者：

Corvino, Justin ^{[1
]}

Gerek, Aydin ^{[1
]}

Greenberg, Michael ^{[2
]}

Krummel, Brian ^{[3
]}

机构：

[1] Lafayette Coll, Dept Math, Easton, PA 18042 USA

[2] Brown Univ, Dept Math, Providence, RI 02912 USA

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

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2007年 / 231卷 / 01期

关键词：

differential geometry; isoperimetric problem; general relativity;

D O I：

10.2140/pjm.2007.231.63

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain the isoperimetric profile for the standard initial slices in the Reissner-Nordstrom and Schwarzschild anti-de Sitter spacetimes, following recent work of Bray and Morgan on isoperimetric comparison. We then discuss these results in the context of Bray's isoperimetric approach to the Penrose inequality.

引用

页码：63 / 84

页数：22

共 13 条

[1] An isoperimetric comparison theorem for Schwarzschild space and other manifolds [J].