Holographic dark energy model in unimodular $f(T)$ gravity

TL;DR

This paper develops a holographic dark energy model within unimodular $f(T)$ gravity, reconstructs the model from observational data, and demonstrates its stability and consistency as a viable dark energy candidate.

Contribution

It introduces a novel reconstruction method for holographic dark energy in unimodular $f(T)$ gravity and validates it with observational data and stability analysis.

Findings

Reconstructed $f(T)$ model fits $H(z)$ data well.

Model agrees with WMAP9 data for specific $ ext{w}_V$ range.

Model remains stable under linear perturbations.

Abstract

The present work deals with holographic dark energy in the context of unimodular $f(T)$ gravity, which is a modification of teleparallel gravity. We develop the general reconstruction procedure of the $f(T)$ form that can yield the holographic feature of the dark energy. We fit the reconstructed model with the $H(z)$ data and our results show a perfect agreement with the WMAP9 cosmological observational data, at least for the range $-1.10\leq \omega_V \leq -1.05$. We investigate the consistency of the reconstructed model by studying its stability against linear gravitational and matter perturbations, fixing $\omega_V$ to $-1.05$. The model presents stability for both de Sitter and power-law solutions and we conclude that it is a good candidate as alternative viable model for characterizing holographic dark energy.