Sufficient conditions for a pseudosymmetric spacetime to be a perfect fluid spacetime

被引：11
|
作者：
Zhao, Peibiao [1 ]
De, Uday Chand [2 ]
Unal, Bulent [3 ]
De, Krishnendu [4 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Peoples R China
[2] Univ Calcutta, Dept Pure Math, 35 Ballygaunge Circular Rd, Kolkata 700019, W Bengal, India
[3] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkey
[4] Univ Burdwan Bhadreswar, Dept Math, Kabi Sukanta Mahavidyalaya, PO Angus, Hooghly 712221, W Bengal, India
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2021年 / 18卷 / 13期
关键词：
Lorentzian manifolds; perfect fluid spacetime; GRW spacetimes; pseudosymmetric spacetimes; ROBERTSON-WALKER SPACETIMES; CURVATURE;
D O I：
10.1142/S0219887821502170
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The aim of this paper is to obtain the condition under which a pseudosymmetric spacetime to be a perfect fluid spacetime. It is proven that a pseudosymmetric generalized Robertson-Walker spacetime is a perfect fluid spacetime. Moreover, we establish that a conformally flat pseudosymmetric spacetime is a generalized Robertson-Walker spacetime. Next, it is shown that a pseudosymmetric dust fluid with constant scalar curvature satisfying Einstein's field equations without cosmological constant is vacuum. Finally, we construct a nontrivial example of pseudosymmetric spacetime.
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页数：12
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