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Cosmological perfect-fluids in f(R) gravity

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We show that an [Formula: see text]-dimensional generalized Robertson–Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress–energy tensor for any [Formula: see text] gravity model. Furthermore,… Click to show full abstract

We show that an [Formula: see text]-dimensional generalized Robertson–Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress–energy tensor for any [Formula: see text] gravity model. Furthermore, we prove that a conformally flat GRW space-time is still a perfect fluid in both [Formula: see text] and quadratic gravity where other curvature invariants are considered.

Keywords: perfect fluids; fluids gravity; cosmological perfect; gravity; formula see; see text

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019

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