Cosmological perfect-fluids in f(R) gravity

Author:

Capozziello Salvatore123,Mantica Carlo Alberto45,Molinari Luca Guido6ORCID

Affiliation:

1. Dipartimento di Fisica “E. Pancini”, Universitá di Napoli “Federico II”, Napoli, Italy

2. INFN Sez. di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126, Napoli, Italy

3. Tomsk State Pedagogical University, ul. Kievskaya, 60, 634061 Tomsk, Russia

4. I.I.S. Lagrange, Via L. Modignani 65, I-20161, Milano, Italy

5. INFN sez. di Milano, Via Celoria 16, I-20133 Milano, Italy

6. Dipartimento di Fisica “A. Pontremoli”, Università degli Studi di Milano and INFN sez. di Milano, Via Celoria 16, I-20133 Milano, Italy

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.

Funder

European Cooperation in Science and Technology

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

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