Inhomogeneous solutions in $f(T,B)$ gravity

Abstract

In this paper we explore the possibility to find exact solutions for Teleparallel Gravity (TG) of the type of spherically symmetric Lema\^ıtre-Tolman-Bondi (LTB) dust models. We apply to the LTB metric the formalism of Teleparallel Gravity in its extension to $f(T,B)$ models, which can be seen it as the analagous from the Schwarzschild solution in General Relativity. An exact LTB solution is obtained which is compatible with a specific $f(T,B)$ model whose observational constraints are cosmological viable in a standard spatially flat Robertson-Walker geometry.

arXiv comment17 pages, accepted for publication in IJGMMP

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Cited by in corpus (4)

• The effective field theory approach to the strong coupling issue in $f(T)$ gravity
• Cosmological solutions in teleparallel $F(T,B)$ gravity
• Signature of $f\left(R\right)$ gravity via Lemaître-Tolman-Bondi inhomogeneous perturbations
• Production of Primordial Gravitational Waves in Teleparallel Gravity