We show that n-dimensional perfect fluid spacetimes with divergence-free conformal curva- ture 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 per- fect fluid spacetimes with harmonic generalized curvature tensor are, under certain conditions, GRW spacetimes. As particular cases, perfect fluids with divergence-free projective, concircu- lar, conharmonic or quasi-conformal curvature tensor are GRW spacetimes. Finally, we explore some physical consequences of such results.
Perfect fluid spacetimes with harmonic generalized curvature tensor / C.A. Mantica, U.C. De, Y.J. Suh, L.G. Molinari. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - 56:1(2019), pp. 173-182.
Perfect fluid spacetimes with harmonic generalized curvature tensor
C.A. Mantica;L.G. MolinariUltimo
2019
Abstract
We show that n-dimensional perfect fluid spacetimes with divergence-free conformal curva- ture 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 per- fect fluid spacetimes with harmonic generalized curvature tensor are, under certain conditions, GRW spacetimes. As particular cases, perfect fluids with divergence-free projective, concircu- lar, conharmonic or quasi-conformal curvature tensor are GRW spacetimes. Finally, we explore some physical consequences of such results.File | Dimensione | Formato | |
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