Bouncing Universe in the Contexts of Generalized Cosmic Chaplygin Gas and Variable Modified Chaplygin Gas

TL;DR

This paper explores bouncing universe models filled with generalized cosmic Chaplygin gas and variable modified Chaplygin gas, analyzing their stability, dynamics, and energy conditions across different universe geometries.

Contribution

It introduces stability and dynamical analyses of bouncing universe models with GCCG and VMCG, including energy condition evaluations in various geometries.

Findings

Identified critical points in flat, open, and closed universes.

Analyzed the dynamical behavior of scale factor and Hubble parameter with scalar fields.

Evaluated energy conditions for both models in bouncing scenarios.

Abstract

In this work, we have considered the Friedmann-Robertson-Walker (FRW) model of the universe where bounce occurs and the universe is filled with Generalized Cosmic Chaplygin Gas (GCCG) or Variable Modified Chaplygin Gas (VMCG). We have studied the stability analysis through dynamical system for both models and found the critical points in flat, open and closed universe. In presence of scalar field, the dynamical behavior of scale factor and Hubble parameter is described in both models. Finally, we have analyzed the energy conditions for both the models in bouncing universe.