Cosmology of F(T) gravity and k-essence

Abstract

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.

arXiv comment21 pages

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Cited by in corpus (19)

• Teleparallel Gravity: From Theory to Cosmology
• FRW Cosmology in F(R,T) gravity
• Viable f(T) models are practically indistinguishable from LCDM
• Cosmological bouncing solutions in f(T,B) gravity
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• LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability
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• Charged Black Holes in Generalized Teleparallel Gravity
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