Exact Spherically Symmetric Solutions in Modified Teleparallel gravity

TL;DR

This paper employs Noether's symmetry approach to derive exact spherically symmetric solutions in a modified Teleparallel gravity theory called $f(T,B)$ gravity, simplifying the complex task of finding solutions in such models.

Contribution

It introduces a novel application of Noether's symmetry method to obtain exact solutions in $f(T,B)$ gravity, expanding the toolkit for modified gravity research.

Findings

Derived explicit spherically symmetric solutions for various $f(T,B)$ forms.

Demonstrated the effectiveness of Noether's symmetry approach in modified gravity.

Provided a framework for exploring gravitational solutions in $f(T,B)$ theories.

Abstract

Finding spherically symmetric exact solutions in modified gravity is usually a difficult task. In this paper we use the Noether's symmetry approach for a modified Teleparallel theory of gravity labelled as $f(T,B)$ gravity where $T$ is the scalar torsion and $B$ the boundary term. Using the Noether's theorem, we were able to find exact spherically symmetric solutions for different forms of the function $f(T,B)$ coming from the Noether's symmetries.