Variable Modified Chaplygin Gas in Anisotropic Universe with Kaluza-Klein Metric

TL;DR

This paper explores the behavior of variable modified Chaplygin gas within an anisotropic Kaluza-Klein universe, analyzing scalar fields, geometrical parameters, and stability of interacting dark energy and dark matter models.

Contribution

It introduces a novel analysis of VMCG in anisotropic Kaluza-Klein cosmology, including scalar field representation, statefinder parameters, and stability of interacting dark energy-dark matter models.

Findings

Derived scalar field and potential for VMCG in Kaluza-Klein universe

Analyzed geometrical parameters like statefinder in anisotropic models

Found stable scaling solutions in interacting dark energy-dark matter models

Abstract

In this work, we have consider Kaluza-Klein Cosmology for anisotropic universe where the universe is filled with variable modified chaplygin gas (VMCG). Here we find normal scalar field $\phi$ and the self interacting potential $V(\phi)$ to describe the VMCG Cosmology. Also we graphically analyzed the geometrical parameters named {\it statefinder parameters} in anisotropic Kaluza-Klein model. Next, we consider a Kaluza-Klein model of interacting VMCG with dark matter in the Einstein gravity framework. Here we construct the three dimensional autonomous dynamical system of equations for this interacting model with the assumption that the dark energy and the dark matter are interact between them and for that we also choose the interaction term. We convert that interaction terms to its dimensionless form and perform stability analysis and solve them numerically. We obtain a stable scaling solution of the equations in Kaluza-Klein model and graphically represent solutions.