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

Abstract

We consider an exponential model within the so-called f(T) theory of gravity, where T denotes the torsion scalar. We focus our attention on a cosmological feature of a f(T) model, checking whether it may describe the de Sitter stage of the current universe according to the evolution of the redshift, z. Our results show that the model reproduces the de Sitter stage only for low redshifts, where the perturbation function approached zero, whereas the effective parameter of the equation of state goes to –1, which is the expected behavior for any model able to reproduce the de Sitter stage.