K-essence Models and Cosmic Acceleration in Generalized Teleparallel Gravity

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.