Dynamical features of $f(T,B)$ cosmology

TL;DR

This paper investigates the dynamical properties of $f(T,B)$ gravity, demonstrating late-time acceleration and stability through scalar perturbations, with implications for cosmological modeling.

Contribution

It introduces a new analysis of $f(T,B)$ cosmology using hyperbolic functions of the Hubble parameter, highlighting the role of boundary terms and stability considerations.

Findings

The model exhibits accelerating behavior consistent with $ ext{Lambda CDM}$ at late times.

The boundary term coefficient $eta$ becomes negligible in the simplified model.

Scalar perturbations indicate the stability of the proposed cosmological model.

Abstract

In this paper, we have explored the field equations of $f(T,B)$ gravity and determined the dynamical parameters with the hyperbolic function of Hubble parameter. The accelerating behavior has been observed and the behavior of equation of state parameter indicates $\Lambda CDM$ model at late time. The role of model parameters in assessing the accelerating behavior has been emphasized. Interestingly the term containing $\beta$, the coefficient of boundary term, in the model parameter vanishes during the simplification. The scalar perturbation has been presented to show the stability of the model.