Thermodynamics and stability of $f(T,B)$ gravity with viscous fluid by observational constraints

TL;DR

This paper explores a modified gravity model with viscous fluid in a flat-FRW universe, analyzing its cosmological implications, stability, and thermodynamic laws using observational data and theoretical methods.

Contribution

It introduces a novel $f(T,B)$ gravity model with viscous fluid, deriving cosmological parameters, testing stability, and validating thermodynamic laws with observational constraints.

Findings

The model predicts accelerated expansion consistent with observations.

Stability analysis shows the model remains stable under certain conditions.

The generalized second law of thermodynamics holds in this framework.

Abstract

In this paper, we study the model of $f(T, B)$ gravity with viscous fluid in flat-FRW metric, in which $T$ and $B$ are torsion scalar and boundary term, respectively. We obtain the Friedmann equations in the framework of modified teleparallel gravity by tetrad components. We consider an interacting model between matter and dark energy so that universe dominates by viscous fluid. Then, we write the corresponding cosmological parameters in terms of the redshift parameter, and, we parameterize the Hubble parameter with experimental data. In what follows, we plot the corresponding cosmological parameters for dark energy components in terms of redshift, thereafter we investigate the accelerated expansion of the universe. Moreover, we discuss the stability of the model by using the sound speed parameter. Finally, we investigate the validity of the generalized second law of thermodynamics.