Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe

TL;DR

This paper investigates an exponential f(T) gravity model to determine its ability to describe the de Sitter phase of the universe, finding it reproduces this stage at low redshifts with expected cosmological behavior.

Contribution

The study introduces an exponential f(T) model and analyzes its capability to replicate the de Sitter epoch in the current universe through redshift analysis.

Findings

Model reproduces de Sitter stage at low redshifts

Perturbation function approaches zero at low redshift

Effective equation of state parameter approaches -1

Abstract

We consider an exponential model within the so-called f(T) theory of gravity, where $T$ denotes the torsion scalar. We focus our work on a cosmological feature of such a model, checking whether it may describe the de Sitter stage of the current universe through the analysis of the redshift z. Our results shows that the model reproduces the de Sitter stage only for low-redshifts, where the perturbation function goes toward zero as the low values of the redshift are reached, whereas the effective parameter of equation of state goes to -1, which is the expected behavior for any model able to reproduce de Sitter stage.