Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions

TL;DR

This paper reconstructs $f(T)$ gravity models based on entropy-corrected holographic and new agegraphic dark energy in power-law and logarithmic forms, explaining accelerated cosmic expansion and stability features.

Contribution

It introduces novel $f(T)$ gravity reconstructions from entropy-corrected dark energy models, exploring their cosmological implications and stability.

Findings

Equation of state can transition from quintessence to phantom.

Models can remain entirely in the phantom regime.

Stability analysis via squared speed of sound shows varied behavior.

Abstract

Here, we peruse cosmological usage of the most promising candidates of dark energy in the framework of $f(T)$ gravity theory. We reconstruct the different $f(T)$ modifed gravity models in the spatially flat FRW universe according to entropy-corrected versions of the holographic and new agegraphic dark energy models in power-law and logarithmic corrections, which describe accelerated expansion history of the universe. We conclude that the equation of state parameter of the entropy-corrected models can transit from quintessence state to phantom regime as indicated by recent observations or can lie entirely in the phantom region. Also, using these models, we investigate the different erase of the stability with the help of the squared speed of sound.