Thermodynamics of Various Entropies in Specific Modified Gravity with Particle Creation

TL;DR

This paper explores how different entropy formulations affect thermodynamic laws in a modified gravity model with particle creation, confirming their validity under specific parameter conditions.

Contribution

It introduces the analysis of various modified entropies within Chern-Simons gravity with particle creation, extending thermodynamic law assessments to this context.

Findings

Thermodynamic laws hold under certain parameter conditions.

Generalized second law is valid with particle creation.

Thermal equilibrium can be achieved in the model.

Abstract

We consider the particle creation scenario in the dynamical Chern-Simons modified gravity in the presence of perfect fluid equation of state $p=(\gamma-1)\rho$. By assuming various modified entropies (Bekenstein, logarithmic, power law correction and Reyni), we investigate the first law of thermodynamics and generalized second law of thermodynamics on the apparent horizon. In the presence of particle creation rate, we discuss the generalized second law of thermodynamics and thermal equilibrium condition. It is found that thermodynamic laws and equilibrium condition remain valid under certain conditions of parameters.