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\^ıtre-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.

5 pages

References in corpus (3)

• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Dynamical complexity of the Teleparallel gravity cosmology
• On spherical dust fluctuations: the exact vs. the perturbative approach