Revisiting $f(T)$ Teleparallel Gravity with a Parametrized Hubble Parameter and Observational Constraints

TL;DR

This study investigates the accelerated expansion of the universe within $f(T)$ gravity, using a specific Hubble parameter form and observational data to constrain models and analyze cosmic evolution.

Contribution

It introduces two new $f(T)$ gravity models based on a parametrized Hubble parameter and constrains them with observational data, providing insights into cosmic dynamics and dark energy evolution.

Findings

Models fit observational data well.

Deceleration parameter indicates transition from deceleration to acceleration.

Estimated universe age consistent with observations.

Abstract

In this paper, the dynamical behavior of the accelerated expansion of the universe is studied within the framework of $f(T)$ gravity by considering a well-motivated functional form of $f(T)$. A specific form of the Hubble parameter is assumed, which under two different cases, leads to two distinct cosmological models expressed in terms of the redshift parameter $H(z)$, providing insights into cosmic dynamics. These models are employed to explore the expansion history of the universe and the evolution of several cosmological parameters. Using Bayesian statistical techniques based on the $\chi^{2}$-minimization method, the median values of the model parameters are determined for both the cosmic chronometer (CC) and the joint (CC + Pantheon) datasets. The evolution of the deceleration parameter, energy density, pressure and the equation of state parameter for dark energy is analyzed. Additionally, the validity of the energy conditions and the nature of the statefinder diagnostic are examined. The present age of the universe is also estimated for the proposed models.