The Area of Horizons and the Trapped Region

被引：85

作者：

Andersson, Lars ^{[1
,2
]}

Metzger, Jan ^{[1
,3
]}

机构：

[1] Albert Einstein Inst, D-14476 Potsdam, Germany

[2] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

[3] Stanford Univ, Stanford, CA 94305 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2009年 / 290卷 / 03期

关键词：

SURFACES;

D O I：

10.1007/s00220-008-0723-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper considers some fundamental questions concerning marginally trapped surfaces, or apparent horizons, in Cauchy data sets for the Einstein equation. An area estimate for outermost marginally trapped surfaces is proved. The proof makes use of an existence result for marginal surfaces, in the presence of barriers, curvature estimates, together with a novel surgery construction for marginal surfaces. These results are applied to characterize the boundary of the trapped region.

引用

页码：941 / 972

页数：32

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