Thermodynamical aspects of relativistic hydrodynamics in f(R,G) gravity

TL;DR

This paper explores the thermodynamical properties of relativistic hydrodynamics within $f(R,G)$ gravity, analyzing a cosmological model with power-law inflation, positive temperature and entropy, and accelerated expansion.

Contribution

It introduces a novel study of thermodynamical aspects of relativistic hydrodynamics in $f(R,G)$ gravity with a specific cosmological model and examines energy conditions and acceleration.

Findings

Temperature and entropy density are positive.

Strong energy condition is violated.

Model exhibits accelerated expansion.

Abstract

Present investigation devoted to the dynamical study of Relativistic Hydrodynamics with some thermodynamical characteristics in $f(R,G)$ gravity towards spatially homogeneous isotropic cosmological model filled with isotropic fluid. We govern the features of the derived cosmological model by considering the power-law inflation for the average scale factor. The temperature and entropy density of the proposed model are positive definite. We also discuss the energy conditions to our solutions. The strong energy condition violated, which indicates the accelerated expansion of the proposed model.