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January 2019 Perfect fluid spacetimes with harmonic generalized curvature tensor
Carlo Alberto Mantica, Uday Chand De, Young Jin Suh, Luca Guido Molinari
Osaka J. Math. 56(1): 173-182 (January 2019).

Abstract

We show that $n$-dimensional perfect fluid spacetimes with diver\-gen\-ce-free conformal curvature tensor and constant scalar curvature are generalized Robertson Walker (GRW) spacetimes; as a consequence a perfect fluid Yang pure space is a GRW spacetime. We also prove that perfect fluid spacetimes with harmonic generalized curvature tensor are, under certain conditions, GRW spacetimes. As particular cases, perfect fluids with divergence-free projective, concircular, conharmonic or quasi-conformal curvature tensor are GRW spacetimes. Finally, we explore some physical consequences of such results.

Citation

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Carlo Alberto Mantica. Uday Chand De. Young Jin Suh. Luca Guido Molinari. "Perfect fluid spacetimes with harmonic generalized curvature tensor." Osaka J. Math. 56 (1) 173 - 182, January 2019.

Information

Published: January 2019
First available in Project Euclid: 16 January 2019

zbMATH: 07055406
MathSciNet: MR3908784

Subjects:
Primary: 53B30 , 53B50
Secondary: 53C80 , 83C15

Rights: Copyright © 2019 Osaka University and Osaka City University, Departments of Mathematics

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Vol.56 • No. 1 • January 2019
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