$f(T)$ theories from holographic dark energy models

TL;DR

This paper reconstructs $f(T)$ gravity theories from various holographic dark energy models across different cosmic eras, highlighting the need for improved boundary conditions for accurate modeling.

Contribution

It introduces a method to reconstruct $f(T)$ theories from holographic dark energy models during specific cosmic periods, addressing limitations in boundary conditions.

Findings

Reconstruction of $f(T)$ from HDE and NADE models across different eras.

Identification of limitations in boundary conditions for accurate reconstruction.

Highlighting the need for improved boundary conditions for precise $f(T)$ modeling.

Abstract

We reconstruct $f(T)$ theories from three different holographic dark energy models in different time durations. For the HDE model, the dark energy dominated era with new setting up is chosen for reconstruction, and the radiation dominated era is chosen when the involved model changes into NADE. For the RDE model, radiation, matter and dark energy dominated time durations are all investigated. We also investigate the limitation which prevents an arbitrary choice of the time duration for reconstruction in HDE and NADE, and find that an improved boundary condition is needed for a more precise reconstruction of $f(T)$ theory.