Vacuum spherically symmetric solutions in $f(T)$ gravity

TL;DR

This paper derives new vacuum spherically symmetric solutions in $f(T)$ gravity by applying metric conditions and determining the corresponding analytical form of $f(T)$, expanding the understanding of solutions in modified teleparallel gravity.

Contribution

It presents new vacuum solutions in $f(T)$ gravity and explicitly finds the form of $f(T)$ compatible with these solutions, which was not previously known.

Findings

New vacuum spherically symmetric solutions in $f(T)$ gravity.

Explicit analytical form of $f(T)$ for these solutions.

Enhanced understanding of spherically symmetric solutions in modified gravity.

Abstract

Spherically symmetric static vacuum solutions have been built in $f(T)$ models of gravity theory. We apply some conditions on the metric components; then the new vacuum spherically symmetric solutions are obtained. Also, by extracting metric coefficients we determine the analytical form of $f(T)$.