Inhomogeneous Universe in f(T) Theory

Abstract

We obtain the equations of motions of the $f(T)$ theory considering the Lemaître-Tolman-Bondi's metric for a set of diagonal and non-diagonal tetrads. In the case of diagonal tetrads the equations of motion of the $f(T)$ theory impose a constant torsion or the same equations of the General Relativity, while in the case of non-diagonal set the equations are quite different from that obtained in GR. We show a simple example of an universe dominated by the matter for the two cases. The comparison of the mass in the non-diagonal case shows a sort of increased with respect to the diagonal one. We also perform two examples for the non-diagonal case. The first concerns a black hole solution of type Sshwarzschild which presents a temperature higher than that of Schwarzschild, and a black hole in a dust-dominated universe.

21 pages

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Cited by in corpus (17)

• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• New observational constraints on f(T) gravity from cosmic chronometers
• A Built-in Inflation in the $f(T)$-Cosmology
• Phase Portraits of general f(T) Cosmology
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• Black-Bounce in $f(T)$ Gravity
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Modelling of a compact anisotropic star as an anisotropic fluid sphere in $f(T)$ gravity
• Black holes and regular black holes in coincident $f(\mathbb{Q},{\mathbb{B}}_Q)$ gravity coupled to nonlinear electrodynamics
• Unimodular $f(G)$ gravity
• Evaporation phenomena in f(T) gravity
• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe
• Relativistic virial relation for cosmological structures
• Interactions of some fluids with dark energy in f(T) theory
• A new type of second order cosmological lagrangians