Statefinder Analysis of f(T) Cosmology

TL;DR

This paper analyzes the behavior of the statefinder parameters in f(T) cosmology models, exploring their implications for dark energy evolution and distinguishing different f(T) gravity scenarios.

Contribution

It provides a detailed calculation of statefinder parameters for specific f(T) models, including a novel model with constant, linear, and non-linear torsion terms.

Findings

The model predicts dark energy decay in the far future.

Special case of teleparallel gravity suggests dark energy dominates universe.

Statefinder trajectories characterize different f(T) models.

Abstract

In this paper, we intend to evaluate and analyze the statefinder parameters in $f(T)$ cosmology. Friedmann equation in $f(T)$ model is taken, and the statefinder parameters ${r,s}$ are calculated. We consider a model of $f(T)$ which contains a constant, linear and non-linear form of torsion. We plot $r$ and $s$ in order to characterize this model in the ${r,s}$ plane. We found that our model $f(T)=2C_1 \sqrt{-T} +\alpha T+C_2,$ predicts the decay of dark energy in the far future while its special case namely teleparallel gravity predicts that dark energy will overcome over all the energy content of the Universe.