Polytropic and Chaplygin f(R)-gravity models

TL;DR

This paper reconstructs various f(R)-gravity models based on polytropic and Chaplygin gas dark energy models, analyzing their equations of state and their ability to describe universe acceleration and inflation.

Contribution

It introduces specific f(R)-gravity models linked to polytropic and Chaplygin gases, exploring their cosmological implications and limitations.

Findings

Models can mimic phantom or quintessence dark energy behaviors.

Models satisfy inflation conditions in de Sitter space.

Transition from quintessence to phantom regime is not justified.

Abstract

We reconstruct different f(R)-gravity models corresponding to the polytropic, standard Chaplygin, generalized Chaplygin, modified Chaplygin and modified variable Chaplygin gas dark energy models. We also obtain the equation of state parameters of the corresponding f(R)-gravity models which describe the accelerated expansion of the universe. We conclude that although the equation of state parameters of the obtained f(R)-gravities can behave like phantom or quintessence dark energy models, they cannot justify the transition from the quintessence state to the phantom regime. Furthermore, the polytropic and Chaplygin f(R)-gravity models in de Sitter space can satisfy the inflation condition.