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 Lemaître–Tolman–Bondi (LTB) dust models. We apply to the LTB metric the formalism of Teleparallel Gravity in its extension to [Formula: see text] models, which can be seen as the analagous from the Schwarzschild solution in General Relativity. An exact LTB solution is obtained which is compatible with a specific [Formula: see text] model whose observational constraints are cosmologically viable in a standard spatially flat Robertson–Walker geometry.