Accelerating Cosmological Models in $f(T, B)$ Gravitational Theory

TL;DR

This paper investigates f(T, B) gravity models in cosmology, demonstrating their ability to produce accelerating universe solutions consistent with observations, analyzing stability, energy conditions, and late-time behavior.

Contribution

It introduces and analyzes specific f(T, B) gravity models with power law and exponential scale factors, showing their viability for late-time cosmic acceleration.

Findings

Models exhibit accelerating behavior approaching $ ext{Λ}$CDM at late times.

Equation of state parameter aligns with observational data.

Both models violate the strong energy condition, indicating modified gravity effects.

Abstract

In this paper, we have explored the field equations of f(T, B) gravity as an extension of teleparallel gravity in an isotropic and homogeneous space time. In the basic formalism developed, the dynamical parameters are derived by incorporating the power law and exponential scale factor function. The models are showing accelerating behaviour and approaches to $\Lambda$CDM at late time.The present value of the equation of state parameter for both the cases are obtained to be in accordance with the range provided by cosmological observations. The geometrical parameters and the scalar field reconstruction are performed to assess the viability of a late time accelerating Universe. Further the stability of both the models are presented. It has been observed that both the models are parameters dependent. Since most of the geometrically modified theories of gravity are favouring the violation of strong energy condition, we have derived the energy conditions both for the power law and exponential model. In both the models, the violation of strong energy condition established.