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. Molinari
Ultimo
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.
Warped space-time, perfect fluid, curvature tensor.
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
2019
https://projecteuclid.org/download/pdf_1/euclid.ojm/1547607633
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/635159
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