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Irrotational-fluid cosmologies in fourth-order gravity

Amare Abebe

Department of Physics, North-West University (NWU), Mahikeng 2735, South Africa

Entoto Observatory and Research Center, P. O. Box 33679, Addis Ababa, Ethiopia

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and

Maye Elmardi

Astrophysics, Cosmology and Gravity Centre (ACGC), University of Cape Town, Rondebosch 7701, South Africa

Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701, South Africa

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https://doi.org/10.1142/S0219887815501182Cited by:7 (Source: Crossref)

Abstract

In this paper, we explore classes of irrotational-fluid cosmological models in the context of f(R)-gravity in an attempt to put some theoretical and mathematical restrictions on the form of the f(R) gravitational Lagrangian. In particular, we investigate the consistency of linearized dust models for shear-free cases as well as in the limiting cases when either the gravito-magnetic or gravito-elecric components of the Weyl tensor vanish. We also discuss the existence and consistency of classes of non-expanding irrotational spacetimes in f(R)-gravity.

Keywords:

PACS: 04.50.Kd, 04.25.Nx

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