Generalized second law of thermodynamics in the emergent universe for some viable models of f(T) gravity

TL;DR

This paper extends the study of the generalized second law of thermodynamics to non-flat emergent universe models within $f(T)$ gravity, analyzing entropy behavior and cosmological parameters.

Contribution

It introduces an analysis of the generalized second law in non-flat emergent universe models for $f(T)$ gravity, considering specific scale factors and entropy derivatives.

Findings

Total entropy increases in the models studied.

Equation of state parameter remains consistent with emergent universe scenarios.

Deceleration parameter indicates accelerated expansion.

Abstract

The present study is motivated by the study of reference [1], where the generalized second law of thermodynamics has been investigated for a flat FRW universe for two viable models of $f(T)$ gravity. In the present work, we have considered a non-flat universe and accordingly studied the behaviors of equation of state parameter and deceleration parameter. Subsequently, using the first law of thermodynamics we derived the expressions for the time derivative of the total entropy of a universe enveloped by apparent horizon. In the next phase, with the choice of scale factor pertaining to an emergent universe we have investigated the sign of the time derivatives of total entropy for three viable models of $f(T)$ gravity.