Locally Rotationally Symmetric Bianchi Type-I cosmological model in $f(T)$ gravity: from early to Dark Energy dominated universe

Abstract

We study the locally rotational symmetry Bianchi type-I dark energy model in the framework of $f(T)$ theory of gravity, where $T$ denotes the torsion scalar. A viable cosmological model is undertaken and the isotropization of this latter is checked, yielding a result that reflects the real evolution of our universe. Moreover, still in the anisotropic optic, a more complicated $f(T)$ model is obtained from the cosmological reconstruction scheme and the analysis shows that the universe is more anisotropic at the beginning if the terms of higher order in $T$ are not considered. This means that the non-linear model should be favoured by observational data.

20 pages, 10 figures, Accepted for publication in International Journal of Modern Physics D (IJMPD)

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Cited by in corpus (24)

• f(T) teleparallel gravity and cosmology
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Cosmological applications of $F(T,T_G)$ gravity
• Anisotropic nature of space-time in $f(Q)$ gravity
• Isotropization of locally rotationally symmetric Bianchi-I universe in $f(Q)$-gravity
• FRW in quadratic form of $f(T)$ gravitational theories
• Cosmological Solutions through Gravitational Decoupling in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\mathrm{ab}}{\mathcal{T}}^{\mathrm{ab}})$ Gravity
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling
• Geodesic Deviation Equation in $f(T)$ gravity
• Bianchi type-I, type-III and Kantowski-Sachs solutions in f(T) gravity
• $f(T,\mathcal{T})$ Cosmological Models in Phase Space
• Constraints on anisotropic properties of the universe in $f(Q,T)$ gravity theory
• Cosmic evolution in f(T) gravity theory
• Geodesic Deviation Equation in $\Lambda$CDM $f(T,\mathcal{T})$ gravity
• Investigating the physical and geometrical parameters of the cosmological models with anisotropic background
• Bianchi Type Cosmological Models in $f(T)$ Tele-parallel Gravity
• Spatially Homogeneous Teleparallel Gravity: Bianchi I
• Aspects of Some New Versions of Pilgrim Dark Energy in DGP Braneworld
• A generic dynamical system formulation for Bianchi-I cosmology with isotropic fluid in $f(Q)$ gravity
• The nonlinear anisotropic model of the Universe with the linear potential
• Spatially homogeneous teleparallel spacetimes with four-dimensional groups of motions
• Exact Analytical Taub-NUT like Solution in f(T) Gravity
• Quintessence dark energy model in non-linear $f(Q)$ theory with bulk-viscosity