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

TL;DR

This paper derives a new exact inhomogeneous solution within $f(T,B)$ gravity, extending Teleparallel Gravity to model spherically symmetric dust distributions, potentially fitting cosmological observations.

Contribution

It presents the first non-static inhomogeneous exact solution in $f(T,B)$ gravity, expanding the set of known solutions in modified teleparallel theories.

Findings

An exact LTB solution compatible with a specific $f(T,B)$ model.

The solution can fit observations in flat Robertson-Walker cosmology.

Demonstrates the applicability of $f(T,B)$ models to inhomogeneous cosmological scenarios.

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.