Exploring late-time cosmic acceleration: A study of a linear $f(T)$ cosmological model using observational data

TL;DR

This paper investigates a linear $f(T)$ gravity model using observational data to explain late-time cosmic acceleration without dark energy, deriving best-fit parameters that support a stable accelerated expansion.

Contribution

It introduces a specific linear $f(T)$ model with a constant term and fits it to observational data, demonstrating its viability in explaining cosmic acceleration.

Findings

Best-fit Hubble constant and model parameters obtained.

Model explains late-time acceleration without dark energy.

Supports stability of the $f(T)$ cosmological model.

Abstract

Understanding the evolution of dark energy poses a significant challenge in modern cosmology, as it is responsible for the universe's accelerated expansion. In this study, we focus on a specific $f(T)$ cosmological model and analyze its behavior using observational data, including 31 data points from the CC dataset, 1048 points from the Pantheon SNe Ia samples, and 6 points from the BAO dataset. By considering a linear $f(T)$ model with an additional constant term, we derive the expression for the Hubble parameter as a function of cosmic redshift for non-relativistic pressureless matter. We obtain the best-fit values for the Hubble constant, $H_0$, and the model parameters $\alpha$ and $\beta$, indicating a stable model capable of explaining late-time cosmic acceleration without invoking a dark energy component. This is achieved through modifying field equations to account for the observed accelerated expansion of the universe.