The first non-static inhomogeneous exact solution in f(T,B) gravity
Abstract
We examine in this paper the possibility of finding exact solutions for Teleparallel Gravity (TG) of the type of spherically symmetric Lema\ tre-Tolman-Bondi (LTB) dust models. We apply to the LTB metric, as obtained from the Schwarzschild solution in General Relativity, the formalism of Teleparallel Gravity in its extension to f(T,B) models. An exact LTB solution is obtained that is compatible with a specific f(T,B) model that seems to be appropriate to fit observations when applied to standard spatially flat Robertson-Walker geometry.
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