Cosmological perfect-fluids in f(R) gravity

Abstract

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.

arXiv comment13 pages, final version

References in corpus (21)

• f(R) Theories Of Gravity
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Curvature Quintessence
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Energy in Generic Higher Curvature Gravity Theories
• Dark energy and dark matter as curvature effects
• A simple characterization of generalized Robertson-Walker spacetimes
• Generalized Robertson-Walker space times, a survey
• On the theory and applications of modern cosmography
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time
• On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times
• Global decomposition of a Lorentzian manifold as a Generalized Robertson-Walker space
• Newtonian, Post Newtonian and Parameterized Post Newtonian limits of f(R, G) gravity
• Weyl compatible tensors
• Connecting early and late universe by $f(R)$ gravity
• Riemann compatible tensors
• Cosmic relic abundance and f(R) gravity
• Twisted Lorentzian manifolds, a characterization with torse-forming time-like unit vectors

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