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arXiv · 2106.02247

The first non-static inhomogeneous exact solution in $f(T,B)$ gravity

Sebastián Nájera·Aram Aguilar·Celia Escamilla-Rivera·Roberto A. Sussman
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Abstract

We examine in this paper the possibility of finding exact solutions for Teleparallel Gravity (TG) of the type of spherically symmetric Lema\^\i 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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Sebastián Nájera, Aram Aguilar, Celia Escamilla-Rivera, Roberto A. Sussman. 2021-06-04. The first non-static inhomogeneous exact solution in $f(T,B)$ gravity. https://arxiv.org/abs/2106.02247

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