Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions

TL;DR

This paper explores exact and perturbative spherically symmetric solutions in $f(T,B)$-gravity, providing new solutions and methods to analyze black holes and compact objects in modified teleparallel gravity theories.

Contribution

It introduces the first exact spherically symmetric solutions in $f(T,B)$-gravity and develops general strategies for finding such solutions.

Findings

New exact solutions in $f(T,B)$-gravity

Perturbative solutions complement existing literature

General methods for deriving spherically symmetric solutions

Abstract

Spherically symmetric solutions of theories of gravity built one fundamental class of solutions to describe compact objects like black holes and stars. Moreover, they serve as starting point for the search of more realistic axially symmetric solutions which are capable to describe rotating compact objects. Theories of gravity that do not possess spherically symmetric solutions which meet all observational constraints are easily falsified. In this article, we discuss classes of exact and perturbative spherically symmetric solutions in $f(T,B)$-gravity. The perturbative solutions add to the ones which have already been found in the literature, while the exact solutions are presented here for the first time. Moreover, we present general methods and strategies, like generalized Bianchi identities, to find spherically solutions in modified teleparallel theories of gravity.