SOLITONS AND GEOMETRICAL STRUCTURES IN A PERFECT FLUID SPACETIME

被引：83
|
作者：
Blaga, Adara M. [1 ]
机构：
[1] West Univ Timisoara, Timisoara, Romania
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 01期
关键词：
Ricci soliton; Einstein soliton; perfect fluid; Lorentz space;
D O I：
10.1216/rmj.2020.50.41
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Geometrical aspects of a perfect fluid spacetime are described in terms of different curvature tensors and eta-Ricci and eta-Einstein solitons in a perfect fluid spacetime are determined. Conditions for the Ricci soliton to be steady, expanding or shrinking are also given. In a particular case when the potential vector field xi of the soliton is of gradient type, xi := grad( f), we derive a Poisson equation from the soliton equation.
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收藏
页码：41 / 53
页数：13
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