Reconstruction of f(T) gravity according to holographic dark energy

TL;DR

This paper reconstructs an $f(T)$ gravity model based on holographic dark energy, revealing a polynomial form that can unify dark matter and dark energy, with potential crossing of the phantom divide.

Contribution

It introduces a novel reconstruction of $f(T)$ gravity aligned with holographic dark energy, unifying dark matter and dark energy within this framework.

Findings

$f(T)$ takes a polynomial form.

$ ext{omega}_V$ can cross -1.

Model unifies dark matter and dark energy.

Abstract

We develop the reconstruction of a model of $f(T)$ gravity according to the holographic dark energy. $T$ is the torsion scalar and its initial value from the Teleparallel gravity is imposed for fitting the initial value of the function $f(T)$. The result shows a polynomial function for $f(T)$, and we also observe that, when $\Omega_V\rightarrow 1$ at the future time, $\omega_V$ may cross -1 for some values of the input parameter $b$. Another interesting aspect of the obtained model is that it provides the unification of the dark matter with the dark energy.