Kantowski-Sachs Universe Models in $f(T)$ Theory of Gravity

Abstract

The $f(T)$ theory is recently proposed to explain the present cosmic accelerating expansion of the universe. $f(T)$ theory is an extension of Teleparallel theory of gravity, where $T$ is the torsion scalar. This paper contains the construction of $f(T)$ models within the Kantowski-Sachs universe. For this purpose, we use conservation equation and equation of state parameter, which represents the different phases of the universe. We discuss possible cases for the matter dominated era, radiation dominated era, present dark energy phase and their combinations. Particularly, a constant solution has been obtained which may correspond to the cosmological constant. Further, we consider two well known $f(T)$ models and derive the equation of state parameter and discuss the cosmic acceleration. Also, the Hubble parameter and average scale factor have been evaluated.

Accepted for publication in IJTP. arXiv admin note: substantial text overlap with arXiv:1105.6228 by other authors

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Cited by in corpus (10)

• Teleparallel Gravity: From Theory to Cosmology
• Spherically symmetric teleparallel geometries
• Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity
• Bianchi Type Cosmological Models in $f(T)$ Tele-parallel Gravity
• Spatially Homogeneous Teleparallel Gravity: Bianchi I
• Scalar Field Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity
• Cosmic Evolution of the Kantowski-Sachs Universe in the Context of a Bulk Viscous String in Teleparallel Gravity
• Kantowski-Sachs cosmology in scalar-torsion theory
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• Electromagnetic Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity