ON QUASI-EINSTEIN SPACETIMES

被引：41
|
作者：
Shaikh, Absos Ali [1 ]
Yoon, Dae Won [2 ]
Hui, Shyamal Kumar [1 ]
机构：
[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India
[2] Gyeongsang Natl Univ, Coll Educ, Dept Math Educ, Jinju 660701, South Korea
来源：
TSUKUBA JOURNAL OF MATHEMATICS | 2009年 / 33卷 / 02期
关键词：
D O I：
10.21099/tkbjm/1267209423
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of quasi-Einstein manifolds arose during the study of exact solutions of the Einstein field equations as well as during considerations of quasi-umbilical hypersurfaces. For instance, the Robertson-Walker spacetimes are quasi-Einstein manifolds. The object of the present paper is to study quasi-Einstein spacetimes. Some basic geometric properties of such a spacetime are obtained. The applications of quasi-Einstein spacetimes in general relativity and cosmology are investigated. Finally, the existence of such spacetimes are ensured by several interesting examples.
引用
收藏
页码：305 / 326
页数：22
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