Chaplygin-gas Solutions of f(R) Gravity

Abstract

We explore exact f(R) gravity solutions that mimic Chaplygin-gas inspired LCDM cosmology. Starting with the original and modified Chaplygin gas equations of state, we reconstruct the forms of f(R) Lagrangians. The resulting solutions are generally quadratic in the Ricci scalar, but have appropriate LCDM 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.

arXiv comment11 pages, no figures; more discussions and references added. Accepted in Int. J. of Geometric Methods in Modern Physics (IJGMMP)

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• Reconstructing f(R) Gravity from a Chaplygin Scalar Field in de Sitter Spacetimes
• The Chaplygin gas as a model for modified teleparallel gravity?
• Whether Lyra's Manifold Itself is a Hidden Source of Dark Energy
• Could the Lyra manifold be the hidden source of the dark energy?
• On 1 + 3 covariant perturbations of the quasi-Newtonian space-time in modified Gauss-Bonnet gravity