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.

21 pages

References in corpus (23)

• Dynamics of dark energy
• f(R,T) gravity
• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Observational constraints on $f(T)$ theory
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• $f(T)$ models with phantom divide line crossing
• Observational information for f(T) theories and Dark Torsion
• Kinetic k-essence and Quintessence
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• On the $\Lambda$CDM Universe in $f(G)$ gravity
• Attractor Solutions in f(T) Cosmology
• Stability of a non-minimally conformally coupled scalar field in F(T) cosmology
• Resolution of dark matter problem in f(T) gravity
• Pure kinetic k-essence as the cosmic speed-up
• Phase space analysis of interacting dark energy in f(T) cosmology
• Comment on "Einstein's Other Gravity and the Acceleration of the Universe''
• Accelerating cosmology in F(T) gravity with scalar field
• Knot Universes in Bianchi Type I Cosmology

Cited by in corpus (9)

• Teleparallel Gravity: From Theory to Cosmology
• FRW Cosmology in F(R,T) gravity
• Cosmological bouncing solutions in f(T,B) gravity
• Matter Conditions for Regular Black Holes in $\mathbf{f}(\mathbf{T})$ Gravity
• Cosmology in a reduced Born-Infeld--$f(T)$ theory of gravity
• Bifurcation and Global Dynamical Behavior of the $f(T)$ Theory
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• Thawing k-essence dark energy in the PAge space
• Classical, quantum, and phenomenological aspects of dark energy models