Exploring cosmological evolution and constraints in $f(T)$ teleparallel gravity

TL;DR

This paper investigates a modified gravity model called $f(T)$ teleparallel gravity, constraining it with observational data and analyzing its cosmological implications, including dark energy behavior and cosmic acceleration.

Contribution

It introduces a specific $f(T)$ function and constrains it with observational data, demonstrating its compatibility with quintessence-like dark energy evolution.

Findings

Model fits well with observational data

Exhibits quintessence behavior in cosmic evolution

Provides insights into dark energy dynamics

Abstract

This study explores the extension of teleparallel gravity within the framework of general relativity, introducing an algebraic function $f(T)$ dependent on the torsion scalar $T$. Motivated by the teleparallel formulation, we investigate cosmological implications, employing the simplest parametrization of the dark energy equation of state. Our chosen $f(T)$ function, $f(T)=\alpha(-T)^n$, undergoes stringent constraints using recent observational data ($H(z)$, SNeIa, BAO, and CMB). The model aligns well with cosmic dynamics, exhibiting quintessence behavior. The evolution of the deceleration parameter, the behavior of dark energy components, and the $Om(z)$ diagnostic further reveal intriguing cosmological phenomena, emphasizing the model's compatibility with quintessence scenarios.