Kantowski-Sachs Universe Models in $f(T)$ Theory of Gravity

TL;DR

This paper explores $f(T)$ gravity models within Kantowski-Sachs universe, analyzing different cosmic phases, deriving solutions, and discussing implications for cosmic acceleration and the cosmological constant.

Contribution

It constructs specific $f(T)$ models in Kantowski-Sachs universe and examines their cosmological implications, including acceleration and matter-energy phases.

Findings

Derived constant solutions potentially representing the cosmological constant.

Analyzed two $f(T)$ models and their effects on cosmic acceleration.

Evaluated Hubble parameter and scale factor for these models.

Abstract

The $f(T)$ theory is recently proposed to explain the present cosmic accelerating expansion of the universe. $f(T)$ theory is an extension of Teleparallel theory of gravity, where $T$ is the torsion scalar. This paper contains the construction of $f(T)$ models within the Kantowski-Sachs universe. For this purpose, we use conservation equation and equation of state parameter, which represents the different phases of the universe. We discuss possible cases for the matter dominated era, radiation dominated era, present dark energy phase and their combinations. Particularly, a constant solution has been obtained which may correspond to the cosmological constant. Further, we consider two well known $f(T)$ models and derive the equation of state parameter and discuss the cosmic acceleration. Also, the Hubble parameter and average scale factor have been evaluated.