F(T) gravity and k-essence

TL;DR

This paper explores the relationship between $F(T)$ gravity and k-essence, reconstructing models and proposing new classes of models, including generalized gases and knot universes, to better understand dark energy.

Contribution

It introduces a thorough reconstruction analysis linking $F(T)$ gravity with kinetic k-essence and proposes new models and generalizations in this framework.

Findings

Derived conditions for equivalence between $F(T)$ models and k-essence.

Presented new classes of $F(T)$-gravity and k-essence models.

Proposed models of generalized gases and knot universes.

Abstract

Modified teleparallel gravity theory with the torsion scalar have 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 derive conditions for the equivalence between of $F(T)$ models with purely kinetic k-essence. We present a new class models of $F(T)$-gravity and k-essence. We also proposed some new models of generalized gases and knot universes as well as some generalizations of $F(T)$ gravity.