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.

20 pages, 6 figures

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Cited by in corpus (10)

• Analysis of F(R,T) Gravity Models Through Energy Conditions
• Noether Symmetry in $f(T)$ Theory
• Energy conditions in generalized teleparallel gravity models
• Generalized Noether symmetry in f(T) gravity
• Stability analysis of anisotropic Bianchi type-I cosmological model in teleparallel gravity
• Thermodynamical aspects of relativistic hydrodynamics in f(R,G) gravity
• Planar Symmetry in f(T) gravity
• Viscous Dark Energy in $f(T)$ Gravity
• Evaporation phenomena in f(T) gravity
• Thawing k-essence dark energy in the PAge space