K-essence Models and Cosmic Acceleration in Generalized Teleparallel Gravity

TL;DR

This paper investigates how k-essence models within generalized teleparallel gravity can explain cosmic acceleration, focusing on Bianchi type I universe and showing all models behave as quintessence.

Contribution

It introduces the analysis of purely kinetic k-essence models in $F(T)$ gravity within anisotropic Bianchi type I universe, highlighting their quintessence behavior.

Findings

All models exhibit quintessence behavior.

The equation of state parameter indicates accelerated expansion.

Deceleration parameter confirms cosmic acceleration.

Abstract

The generalized teleparallel gravity has been suggested to explain the present cosmic acceleration of the universe. In this paper, we take spatially homogenous and anisotropic Bianchi type $I$ universe in the framework of $F(T)$ gravity. The behavior of accelerating universe is investigated for three purely kinetic k-essence models. We explore equation of state parameter and deceleration parameter for these k-essence models. It is found that all these models exhibit quintessence behavior of the universe.