Estimates for the volume of a Lorentzian manifold

被引：2

作者：

Gerhardt, C ^{[1
]}

机构：

[1] Univ Heidelberg, Inst Angew Math, D-69120 Heidelberg, Germany

来源：

GENERAL RELATIVITY AND GRAVITATION | 2003年 / 35卷 / 02期

关键词：

Lorentzian manifold; volume estimates; cosmological spacetime; general relativity; constant mean curvature; CMC hypersurface;

D O I：

10.1023/A:1022336925552

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We prove new estimates for the volume of a Lorentzian manifold and show especially that cosmological spacetimes with crushing singularities have finite volume.

引用

页码：201 / 207

页数：7

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