Reconstruction of f(T) gravity from the Holographic dark energy

Abstract

Among different candidates to play the role of Dark Energy (DE), modified gravity has emerged as offering a possible unification of Dark Matter (DM) and DE. The purpose of this work is to develop a reconstruction scheme for the modified gravity with $f(T)$ action using holographic energy density. In the framework of the said modified gravity we have considered the equation of state of the Holographic DE (HDE) density. Subsequently we have developed a reconstruction scheme for modified gravity with $f(T)$ action. Finally we have obtained a modified gravity action consistent with the HDE scenario.

9 pages, 4 figures. arXiv admin note: text overlap with arXiv:1211.0902

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• Constant-roll Inflation in $f(T)$ Teleparallel Gravity
• Phase Portraits of general f(T) Cosmology
• FRW in quadratic form of $f(T)$ gravitational theories
• Dynamical system analysis for nonminimal torsion-matter coupled gravity
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• QCD ghost reconstruction of f(T) gravity in flat FRW universe
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• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions
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• A study on the dependence of the dimensionless Brans-Dicke parameter on the scalar field and their time dependence
• Generalized second law of thermodynamics in QCD ghost f(G) gravity
• Renyi Holographic Dark Energy models in Teleparallel gravity
• f(T) Quantum Cosmology
• Reconstructing $f(T)$ modified gravity from ECHDE and ECNADE models
• Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints
• Power Law and Logarithmic Ricci Dark Energy Models in Horava-Lifshitz Cosmology
• Holographic connection of f(G) gravity through Barrow and a generalized version of holographic dark fluid
• $f(T)$ gravity from holographic Ricci dark energy model with new boundary conditions
• Quantum cosmology in teleparallel gravity with a boundary term