SOLITONS AND GEOMETRICAL STRUCTURES IN A PERFECT FLUID SPACETIME

被引：95

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.

引用

页码：41 / 53

页数：13

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