Bianchi type-I, type-III and Kantowski-Sachs solutions in f(T) gravity

Abstract

In the context of modified tele-parallel theory of gravity, we undertake cosmological anisotropic models and search for their solutions. Within a suitable choice of non-diagonal tetrads, the decoupled equations of motion are obtained for Bianchi-I, Bianchi-III and Kantowski-Sachs models, from which we obtain the correspondent solutions. By the way, energy density and pressures are also obtained, showing, as an important result, that our universe may live a quintessence like universe even still anisotropic models are considered.

19 pages, 3 figures

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• Constraining Anisotropic Cosmological Model in $f(\mathcal{R},{\mathcal{L}}_m)$ Gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• Spherically symmetric teleparallel geometries
• A Complete Cosmological Scenario in Teleparallel Gravity
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• 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
• Teleparallel Geometry with Spherical Symmetry: The diagonal and proper frames
• Cosmic Evolution of the Kantowski-Sachs Universe in the Context of a Bulk Viscous String in Teleparallel Gravity
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• Electromagnetic Kantowski--Sachs Solutions in Teleparallel $F(T)$ Gravity