Role of Chameleon Field in presence of Variable Modified Chaplygin gas in Brans-Dicke Theory

TL;DR

This paper investigates the dynamics of a Brans-Dicke cosmological model with a chameleon scalar field interacting with variable modified Chaplygin gas, analyzing potential functions and scalar field behavior in different frames.

Contribution

It introduces a transformation of field equations from Jordan to Einstein frame and studies the evolution of potential and interaction functions in this context.

Findings

Potential function V increases with scalar field

Function f increases with scalar field

Behavior analyzed in both Jordan and Einstein frames

Abstract

In this work, we have considered FRW model of the universe for Brans-Dicke (BD) theory with BD scalar field as a Chameleon field. First we have transformed the field equations and conservation equation from Jordan's frame to Einstein's frame. We have shown in presence of variable modified Chaplygin gas, the potential function $V$ and another analytic function $f$ always increase with respect to BD-Chameleon scalar field $\phi$.