Locally Rotationally Symmetric Bianchi Type-I cosmological model in $f(T)$ gravity: from early to Dark Energy dominated universe

TL;DR

This paper investigates a Bianchi type-I cosmological model within $f(T)$ gravity, demonstrating how anisotropy evolves from the early universe to the dark energy era, and emphasizing the importance of nonlinear torsion terms.

Contribution

It introduces a new $f(T)$ model for anisotropic cosmology and analyzes its evolution, highlighting the significance of higher-order torsion terms for observational consistency.

Findings

Universe is more anisotropic initially without higher-order terms.

Isotropization occurs over cosmic evolution.

Nonlinear $f(T)$ models are favored by observational data.

Abstract

We study the locally rotational symmetry Bianchi type-I dark energy model in the framework of $f(T)$ theory of gravity, where $T$ denotes the torsion scalar. A viable cosmological model is undertaken and the isotropization of this latter is checked, yielding a result that reflects the real evolution of our universe. Moreover, still in the anisotropic optic, a more complicated $f(T)$ model is obtained from the cosmological reconstruction scheme and the analysis shows that the universe is more anisotropic at the beginning if the terms of higher order in $T$ are not considered. This means that the non-linear model should be favoured by observational data.