Constant Mean Curvature Spacelike Hypersurfaces in Spatially Open GRW Spacetimes

被引：5

作者：

Pelegrin, Jose A. S. ^{[1
,2
]}

Rigoli, Marco ^{[3
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

[2] Univ CEU San Pablo, Dept Matemat Aplicada & Estat, Madrid 28003, Spain

[3] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2019年 / 29卷 / 04期

关键词：

Constant mean curvature; Spacelike hypersurface; Generalized Robertson-Walker spacetime; UNIQUENESS;

D O I：

10.1007/s12220-018-00117-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we provide under certain geometric and physical assumptions new uniqueness and non-existence results for complete spacelike hypersurfaces of constant mean curvature in spatially open Generalized Robertson-Walker spacetimes. Some of our results are then applied to relevant spacetimes as the steady-state spacetime, Einstein-de Sitter spacetime, and certain radiation models.

引用

页码：3293 / 3307

页数：15

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