Anisotropic Universe Models in f(T) Gravity

TL;DR

This paper explores anisotropic cosmological models within f(T) gravity, reconstructing solutions like de Sitter and power-law to describe early inflation and late-time acceleration, ensuring universe stability.

Contribution

It introduces new reconstructed anisotropic f(T) gravity models that unify early inflation with late-time acceleration, extending previous isotropic studies.

Findings

Models reproduce early universe inflation.

Models account for late-time accelerated expansion.

Avoidance of Big Rip and Big Freeze scenarios.

Abstract

We investigate the cosmological reconstruction in anisotropic universe for both homogeneous and inhomogeneous content of the universe. Special attention is attached to three interesting cases: Bianchi type-I, Bianchi type-III and Kantowski-Sachs models. The de Sitter, power-law and general exponential solutions are assumed for the scale factor in each spatial direction and the corresponding cosmological models are reconstructed. Moreover, for the general exponential solutions, from which the de Sitter and power-law solutions may be obtained, we obtain models which reproduce the early universe, assumed as the inflation, and the late time accelerated expanding universe. The models obtained for the late time universe are consistent with a known result in literature where a power-law type correction in T is added to a power-law type of f(T) for guaranteeing the avoidance of the Big Rip and the Big Freeze.