Cosmological perfect-fluids in f(R) gravity

We show that an n -dimensional generalized Robertson–Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress–energy tensor for any f ( R ) gravity model. Furthermore, we prove that a conformally flat GRW space-time is still a perfect fluid in both f (...

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Published inInternational journal of geometric methods in modern physics Vol. 16; no. 1; p. 1950008
Main Authors Capozziello, Salvatore, Mantica, Carlo Alberto, Molinari, Luca Guido
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 01.01.2019
World Scientific Publishing Co. Pte., Ltd
Subjects
Computational fluid dynamics
Curvature
Divergence
Gravitation
Mathematical analysis
Relativity
Research Article
Spacetime
Tensors
Cosmology
extended theories of gravity
perfect fluids
conformal symmetry
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ISSN0219-8878
1793-6977
1793-6977
DOI10.1142/S0219887819500087

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Summary:We show that an n -dimensional generalized Robertson–Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress–energy tensor for any f ( R ) gravity model. Furthermore, we prove that a conformally flat GRW space-time is still a perfect fluid in both f ( R ) and quadratic gravity where other curvature invariants are considered.
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ISSN:0219-8878
1793-6977
1793-6977
DOI:10.1142/S0219887819500087