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

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.

20 pages, 40 figures, Accepted in EPJC. arXiv admin note: text overlap with arXiv:1004.1805 by other authors

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Cited by in corpus (7)

• Generalized teleparallel cosmology and initial singularity crossing
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Cosmic evolution in f(T) gravity theory
• Horizon thermodynamics in holographic cosmological models with a power-law term
• Entropy production due to adiabatic particle creation in a holographic dissipative cosmology
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• Agegraphic dark energy from entropy of the anti-de Sitter black hole