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Chaplygin-gas solutions of $f (R)$ gravity

Maye Elmardi

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

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

E-mail Address: maye.elmardi@gmail.com

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Amare Abebe

Department of Physics, North-West University, Mafikeng 2735, South Africa

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, and

Abiy Tekola

Las Cumbres Observatory Global Telescope Network, Goleta, CA 93117, USA

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https://doi.org/10.1142/S0219887816501206Cited by:22 (Source: Crossref)

Abstract

We explore exact $f (R)$ gravity solutions that mimic Chaplygin-gas inspired $Λ$ CDM cosmology. Starting with the original, generalized and modified Chaplygin-gas (MCG) equations of state (EoS), we reconstruct the forms of $f (R)$ Lagrangians. The resulting solutions are generally quadratic in the Ricci scalar, but have appropriate $Λ$ CDM solutions in limiting cases. These solutions, given appropriate initial conditions, can be potential candidates for scalar field-driven early universe expansion (inflation) and dark energy-driven late-time cosmic acceleration.

Keywords:

PACS: 04.50.Kd, 04.25.Nx

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