Constant Mean Curvature Spacelike Hypersurfaces in Spatially Open GRW Spacetimes

被引：6
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
收藏
页码：3293 / 3307
页数：15
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