Non-equilibrium thermodynamics in the non-canonical scalar field perturbed space-time : Stability analysis

TL;DR

This paper investigates the stability of a perturbed universe with a scalar field, analyzing the thermodynamic properties and deriving constraints on the scalar field based on stability and thermodynamic laws.

Contribution

It provides a stability analysis of non-canonical scalar field perturbations in space-time considering thermodynamic principles and Einstein equations.

Findings

Derived solutions of Einstein field equations with scalar field perturbations.

Established thermodynamic constraints on the scalar field.

Analyzed stability criteria for the cosmic fluid in perturbed space-time.

Abstract

The space-time of the Universe has been perturbed under a scalar field $\phi$ considering the minimum coupling between {\phi} and the background metric. The solutions of Einstein field equations have been obtained under perturbed geometry and the corresponding conservation equation shows the non-equilibrium thermodynamic prescription of the cosmic fluid. Following the stability criteria of the cosmic fluid along with the laws of thermodynamics, some constraints have been imposed on the choice of $\phi$.