PARABOLIC METHODS FOR THE CONSTRUCTION OF SPACELIKE SLICES OF PRESCRIBED MEAN-CURVATURE IN COSMOLOGICAL SPACETIMES

被引：90

作者：

ECKER, K ^{[1
]}

HUISKEN, G ^{[1
]}

机构：

[1] AUSTRALIAN NATL UNIV,FAC SCI,DEPT MATH,CANBERRA,ACT 2601,AUSTRALIA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1991年 / 135卷 / 03期

关键词：

D O I：

10.1007/BF02104123

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Spacelike hypersurfaces of prescribed mean curvature in cosmological spacetimes are constructed as asymptotic limits of a geometric evolution equation. In particular, an alternative, constructive proof is given for the existence of maximal and constant mean curvature slices.

引用

页码：595 / 613

页数：19

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