Modified Chaplygin Gas and Solvable F-essence Cosmologies

TL;DR

This paper models the Modified Chaplygin Gas within f-essence cosmology, deriving explicit expressions for pressure and energy density, and exploring solutions with various pressures and the phantom crossing behavior.

Contribution

It introduces a novel framework connecting MCG with f-essence cosmology and provides explicit solutions for pressure and energy density.

Findings

Derived explicit pressure and energy density expressions for MCG in f-essence framework.

Obtained solutions with both positive and negative pressures for different parameters.

Analyzed the state parameter indicating phantom crossing behavior.

Abstract

The Modified Chaplygin Gas (MCG) model belongs to the class of a unified models of dark energy and dark matter. In this paper, we have modeled MCG in the framework of f-essence cosmology. By constructing an equation connecting the MCG and the f-essence, we solve it to obtain explicitly the pressure and energy density of MCG. As special cases, we obtain both positive and negative pressure solutions for suitable choices of free parameters. We also calculate the state parameter which describes the phantom crossing.