Bianchi type-I, type-III and Kantowski-Sachs solutions in f(T) gravity
M. E. Rodrigues, A. V. Kpadonou, F. Rahaman, P. J. Oliveira, M. J., S. Houndjo
TL;DR
This paper explores anisotropic cosmological models within f(T) gravity, deriving solutions for Bianchi-I, Bianchi-III, and Kantowski-Sachs universes, and shows they can exhibit quintessence-like behavior.
Contribution
It provides new solutions for anisotropic models in f(T) gravity using non-diagonal tetrads, highlighting the possibility of a quintessence-like universe.
Findings
Universe can be quintessence-like in anisotropic f(T) models
Solutions derived for Bianchi-I, Bianchi-III, and Kantowski-Sachs
Energy density and pressures are explicitly obtained
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.
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