Bianchi type I in f(T) gravitational theories

doi:10.1088/1674-1056/25/5/050401

Abstract A tetrad field that is homogeneous and anisotropic which contains two unknown functions A(t) and B(t) of cosmic time is applied to the field equations of f(t), where T is the torsion scalar, T=T^μ_νρS_μ^νρ. We calculate the equation of continuity and rewrite it as a product of two brackets, the first is a function of f(t) and the second is a function of the two unknowns A(t) and B(t). We use two different relations between the two unknown functions A(t) and B(t) in the second bracket to solve it. Both of these relations give constant scalar torsion and solutions coincide with the de Sitter one. So, another assumption related to the contents of the matter fields is postulated. This assumption enables us to drive a solution with a non-constant value of the scalar torsion and a form of f(t) which represents ΛCDM.

Keywords: f(t) gravitational theory Bianchi type I special solutions

Received: 26 June 2015
Revised: 19 January 2016
Accepted manuscript online:

PACS:

04.50.Kd

(Modified theories of gravity)

Fund: Project supported by the Egyptian Ministry of Scientific Research (Project No. 24-2-12).

Corresponding Authors: G G L Nashed
E-mail: nashed@bue.edu.eg

Cite this article:

M I Wanas, G G L Nashed, O A Ibrahim Bianchi type I in f(T) gravitational theories 2016 Chin. Phys. B 25 050401

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