Reconstruction of f(T) gravity from the Holographic dark energy

TL;DR

This paper develops a method to reconstruct f(T) modified gravity models based on holographic dark energy, aiming to unify dark matter and dark energy explanations within a single framework.

Contribution

It introduces a novel reconstruction scheme for f(T) gravity using holographic energy density, linking modified gravity with holographic dark energy models.

Findings

Derived a specific f(T) gravity action consistent with holographic dark energy.

Provided a framework to unify dark matter and dark energy within f(T) gravity.

Established a connection between holographic energy density and modified teleparallel gravity.

Abstract

Among different candidates to play the role of Dark Energy (DE), modified gravity has emerged as offering a possible unification of Dark Matter (DM) and DE. The purpose of this work is to develop a reconstruction scheme for the modified gravity with $f(T)$ action using holographic energy density. In the framework of the said modified gravity we have considered the equation of state of the Holographic DE (HDE) density. Subsequently we have developed a reconstruction scheme for modified gravity with $f(T)$ action. Finally we have obtained a modified gravity action consistent with the HDE scenario.