SPACETIMES ADMITTING DIVERGENCE FREE m-PROJECTIVE CURVATURE TENSOR

被引：1

作者：

Chand, Uday ^{[1
]}

Hazra, Dipankar ^{[2
]}

机构：

[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, India

[2] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 39卷 / 01期

关键词：

Key words and phrases. Divergence free m-projective curvature tensor; vorticity; geodesic; perfect fluid spacetimes; generalized Robertson-Walker spacetimes;

D O I：

10.4134/CKMS.c230105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. This paper is concerned with the study of spacetimes satisfying divM = 0, where "div" denotes the divergence and M is the mprojective curvature tensor. We establish that a perfect fluid spacetime with divM = 0 is a generalized Robertson-Walker spacetime and vorticity free; whereas a four-dimensional perfect fluid spacetime becomes a Robertson-Walker spacetime. Moreover, we establish that a Ricci recurrent spacetime with divM = 0 represents a generalized Robertson-Walker spacetime.

引用

页码：201 / 210

页数：10