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

Understand

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 $-1.05$.