Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 56, Number 1 (2019), 173-182.
Perfect fluid spacetimes with harmonic generalized curvature tensor
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.
Osaka J. Math., Volume 56, Number 1 (2019), 173-182.
First available in Project Euclid: 16 January 2019
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Mantica, Carlo Alberto; Chand De, Uday; Suh, Young Jin; Molinari, Luca Guido. Perfect fluid spacetimes with harmonic generalized curvature tensor. Osaka J. Math. 56 (2019), no. 1, 173--182. https://projecteuclid.org/euclid.ojm/1547607633