Sound Speed in Extended Chaplygin Fluid

TL;DR

This paper introduces a cosmological model based on an extended Chaplygin gas equation of state derived from D-brane action, analyzing its stability, solutions, and cosmological implications.

Contribution

It develops a new extended Chaplygin gas model from D-brane physics and explores its stability and cosmological behavior under various conditions.

Findings

Identified a stable equation of state within the model.

Derived the scale factor under specific approximations.

Discussed the cosmological implications of the model.

Abstract

We consider an extended Chaplygin gas equation of state which is driven from D-brane action and construct a cosmological model based on this equation of state. In this regard, we compute the scale factor of the model under a certain approximation. The conservation equation of this case is a non-linear differential equation which should solve using the special conditions. We also analyze the stability of the model by using sound speed as well as adiabatic index and discuss certain special cases of the model. We find special equation of state in this model which yields to dynamical and thermodynamical stability. Furthermore, we study the cosmological consequences of this model under certain conditions.