Reconstructing $f(T)$ Gravity From Hubble Parameterization Constraints

TL;DR

This paper develops a cosmological model based on $f(T)$ gravity to explain late-time cosmic acceleration, constrains model parameters with observational data, and analyzes the universe's dynamical behavior and energy conditions.

Contribution

It introduces a new parametrization of the Hubble parameter within $f(T)$ gravity and constrains its parameters using cosmological datasets, exploring its implications for universe dynamics.

Findings

The model fits observational data well.

The universe exhibits late-time phantom behavior.

Energy conditions analysis confirms strong energy condition violation.

Abstract

In this paper, we have presented the cosmological model of the Universe that represents late time cosmic acceleration in torsion based gravitational theory, the $f(T)$ gravity. A well motivated parametrization for the Hubble parameter has been introduced and the free parameters involved are constrained using the cosmological datasets. With the constrained values of the free parameters, other geometrical parameters such as deceleration parameter, jerk parameter, and snap parameter are analyzed and confronted with the prescribed value of the cosmological observations. In addition, the dynamical parameters are analyzed in some non-linear form of $f(T)$ and the energy conditions are also studied and confirmed with the violation of the strong energy condition. The obtained cosmological model provides late time phantom behavior of the Universe.