Generalized Second Law of Thermodynamic in Modified Teleparallel Theory

TL;DR

This paper investigates the validity of the generalized second law of thermodynamics in a modified teleparallel gravity framework involving scalar fields, boundary terms, and entropy corrections, across various cosmological solutions.

Contribution

It introduces a comprehensive analysis of thermodynamic laws in modified teleparallel gravity with scalar field coupling, including entropy corrections and specific cosmological scenarios.

Findings

GSLT holds under certain conditions in the theory.

Entropy corrections influence the validity of thermodynamic laws.

Thermodynamics laws are consistent in selected cosmological models.

Abstract

This study is conducted to examine the validity of generalized second law of thermodynamics (GSLT) in flat FRW for modified teleparallel gravity involving coupling between a scalar field with the torsion scalar $T$ and the boundary term $B=2\nabla_{\mu}T^{\mu}$. This theory is very useful since it can reproduce other important well-known scalar field theories in suitable limits. The validity of the first and second law of thermodynamics at the apparent horizon is discussed for any coupling. As examples, we have also explored the validity of those thermodynamics laws in some new cosmological solutions under the theory. Additionally, we have also considered the logarithmic entropy corrected relation and discuss the GSLT at the apparent horizon.