Holographic dark energy reconstruction of $f(T,\mathcal{T})$ gravity

TL;DR

This paper develops a holographic reconstruction method for a modified gravity theory involving torsion and matter trace, demonstrating that the models can describe accelerating universe regimes consistent with observations.

Contribution

It introduces a reconstruction scheme for $f(T, abla T)$ gravity using holographic principles, exploring specific functional forms and their cosmological implications.

Findings

Models can describe phantom or quintessence acceleration.

Reconstructed models align with current observational data.

The approach extends holographic reconstruction to torsion-based gravity.

Abstract

The present paper reports a holographic reconstruction scheme for $f(T,\mathcal T)$ gravity proposed in Harko et al. $\emph{JCAP}\; 12(2014)021$ where $T$ is the torsion scalar and $\mathcal{T}$ is the trace of the energy-momentum tensor considering future event horizon as the enveloping horizon of the universe. We have considered $f(T, \mathcal T)=T + \gamma g(\mathcal T)$ and $f(T,\mathcal T) =\beta \mathcal T + g(T)$ for reconstruction. We observe that the derived $f(T,\mathcal T)$ models can represent phantom or quintessence regimes of the universe which are compatible with the current observational data.