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Entropy 2012, 14(9), 1627-1651; doi:10.3390/e14091627

Cosmology of F(T) Gravity and k-Essence

Eurasian International Center for Theoretical Physics, Department of General and Theoretical Physics,Eurasian National University, Astana 010008, Kazakhstan
Received: 20 July 2012 / Revised: 17 August 2012 / Accepted: 21 August 2012 / Published: 4 September 2012
(This article belongs to the Special Issue Modified Gravity: From Black Holes Entropy to Current Cosmology)
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This a brief review on F(T) gravity and its relation with k-essence. Modified teleparallel gravity theory with the torsion scalar has recently gained a lot of attention as a possible explanation of dark energy. We perform a thorough reconstruction analysis on the so-called F(T) models, where F(T) is some general function of the torsion term, and deduce the required conditions for the equivalence between of F(T) models with pure kinetic k-essence models. We present a new class of models of F(T)-gravity and k-essence.
Keywords: F(T) gravity; k-essence; cosmology; dark energy F(T) gravity; k-essence; cosmology; dark energy
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Myrzakulov, R. Cosmology of F(T) Gravity and k-Essence. Entropy 2012, 14, 1627-1651.

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