Generalized Second Law of Thermodynamics for FRW Cosmology with Power-Law Entropy Correction

TL;DR

This paper investigates the generalized second law of thermodynamics in flat FRW cosmology considering power-law entropy corrections, analyzing conditions for its validity across different cosmological scenarios and perturbations.

Contribution

It introduces a detailed analysis of GSL with power-law entropy correction in various cosmological models, including equilibrium, non-equilibrium, and perturbed de Sitter space.

Findings

GSL validity conditions derived for apparent and event horizons.

Constraints on the power-law parameter alpha in different regimes.

Conditions identified where GSL breaks down in cosmological backgrounds.

Abstract

In this work, we have considered the power law correction of entropy on the horizon. If the flat FRW Universe is filled with the n components fluid with interactions, the GSL of thermodynamics for apparent and event horizons have been investigated for equilibrium and non-equilibrium cases. If we consider a small perturbation around the de Sitter space-time, the general conditions of the validity of GSL have been found. Also if a phantom dominated Universe has a polelike type scale factor, the validity of GSL has also been analyzed. Further we have obtained constraints on the power-law parameter {\alpha} in the phantom and quintessence dominated regimes. Finally we obtain conditions under which GSL breaks down in a cosmological background.