Constant scalar curvature hypersurfaces in (3+1)-dimensional GHMC Minkowski spacetimes

被引：2
|
作者：
Smith, Graham [1 ]
机构：
[1] Univ Fed Rio de Janeiro, Inst Matemat, Av Athos da Silveira Ramos 149,Bloco C, BR-21941909 Rio de Janeiro, RJ, Brazil
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 128卷
关键词：
Minkowski spacetimes; GHMC; Scalar curvature; CYCLIC EXTENSION; DEFORMATIONS; SURFACES; SO(3,1);
D O I：
10.1016/j.geomphys.2017.11.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every (3 + 1)-dimensional flat GHMC Minkowski spacetime which is not a translation spacetime or a Misner spacetime carries a unique foliation by spacelike hypersurfaces of constant scalar curvature. In other words, we prove that every such spacetime carries a unique time function with isochrones of constant scalar curvature. Furthermore, this time function is a smooth submersion. (C) 2017 Elsevier B.V. All rights reserved.
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页码：99 / 117
页数：19
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