Cosmology of F(T) gravity and k-essence

Understand

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.