Inhomogeneous solutions in $f(T,B)$ gravity

TL;DR

This paper derives exact spherically symmetric solutions in $f(T,B)$ gravity, extending Teleparallel Gravity to model inhomogeneous cosmologies and demonstrating their compatibility with observational data.

Contribution

It presents the first exact LTB solutions within $f(T,B)$ gravity, linking inhomogeneous models to cosmological viability.

Findings

Exact LTB solution compatible with $f(T,B)$ models

Model aligns with observational constraints in flat cosmology

Extends Teleparallel Gravity to inhomogeneous solutions

Abstract

In this paper we explore the possibility to find 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 the formalism of Teleparallel Gravity in its extension to $f(T,B)$ models, which can be seen it as the analagous from the Schwarzschild solution in General Relativity. An exact LTB solution is obtained which is compatible with a specific $f(T,B)$ model whose observational constraints are cosmological viable in a standard spatially flat Robertson-Walker geometry.