Chaplygin-gas solutions of f(R) gravity

Abstract

We explore exact [Formula: see text] gravity solutions that mimic Chaplygin-gas inspired [Formula: see text]CDM cosmology. Starting with the original, generalized and modified Chaplygin-gas (MCG) equations of state (EoS), we reconstruct the forms of [Formula: see text] Lagrangians. The resulting solutions are generally quadratic in the Ricci scalar, but have appropriate [Formula: see text]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.