Chaplygin-gas Solutions of f(R) Gravity

TL;DR

This paper derives specific f(R) gravity models that replicate Chaplygin-gas cosmology, providing potential explanations for both early universe inflation and late-time acceleration.

Contribution

It reconstructs f(R) Lagrangians from Chaplygin-gas equations of state, offering new models that unify early and late cosmic acceleration.

Findings

Solutions are generally quadratic in Ricci scalar.

Models include LCDM solutions in certain limits.

Potential to describe inflation and dark energy.

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.