Generalized Second Law of Thermodynamics in $f(T,T_{G})$ gravity

TL;DR

This paper investigates the thermodynamic behavior of the universe in $f(T,T_G)$ gravity, showing that Friedmann equations can be expressed as the first law of thermodynamics and analyzing the generalized second law's validity.

Contribution

It demonstrates the translation of Friedmann equations into the first law of thermodynamics within $f(T,T_G)$ gravity and explores conditions for the generalized second law to hold.

Findings

Friedmann equations can be reformulated as the first law of thermodynamics.

Conditions for the validity of the generalized second law are derived.

Constraints on model parameters are obtained from cosmic data.

Abstract

An equilibrium picture of thermodynamics is discussed at the apparent horizon of FRW universe in $f(T,T_G)$ gravity, where $T$ represents the torsion invariant and $T_G$ is the teleparallel equivalent of the Gauss-Bonnet term. It is found that one can translate the Friedmann equations to the standard form of first law of thermodynamics. We discuss GSLT in the locality of assumption that temperature of matter inside the horizon is similar to that of horizon. Finally, we consider particular models in this theory and generate constraints on the coupling parameter for the validity of GSLT in terms of recent cosmic parameters and power law solutions.