Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections

TL;DR

This paper investigates the validity of the generalized second law of thermodynamics in $f(T)$ gravity, considering entropy corrections and different cosmic horizons, under various energy dominance scenarios.

Contribution

It introduces conditions for the GSL to hold in $f(T)$ cosmology with entropy corrections, analyzing both apparent and event horizons.

Findings

GSL validity depends on specific model parameters.

Entropy corrections influence the GSL's validity.

Different cosmic horizons yield different thermodynamic behaviors.

Abstract

We study the generalized second law (GSL) of thermodynamics in $f(T)$ cosmology. We consider the universe as a closed bounded system filled with $n$ component fluids in the thermal equilibrium with the cosmological boundary. We use two different cosmic horizons: the future event horizon and the apparent horizon. We show the conditions under which the GSL will be valid in specific scenarios of the quintessence and the phantom energy dominated eras. Further we associate two different entropies with the cosmological horizons: with a logarithmic correction term and a power-law correction term. We also find the conditions for the GSL to be satisfied or violated by imposing constraints on model parameters.