Modified Chaplygin Gas with Variable G and $\Lambda$

TL;DR

This paper explores a cosmological model with modified Chaplygin gas, where gravitational constant G and cosmological constant Λ vary, analyzing different universe scenarios including decelerating, accelerating, and inflationary phases.

Contribution

It introduces a novel analysis of modified Chaplygin gas models with variable G and Λ, detailing conditions for static and dynamic universe solutions.

Findings

Decelerating to accelerating universe transition described.

Inflationary solutions with non-static equations of state identified.

Conditions for static universe with constant G and Λ established.

Abstract

In this work, we have considered modified Chaplygin gas with variable G and $\Lambda$. The trivial solution describes decelerating phase to accelerating phase of the universe. The non-static with constant equation of state describes the inflationary solution. For static universe, G and $\Lambda$ must be forms arbitrary and for static universe with constant equation of state G and $\Lambda$ should be constant.