# Magnetic black holes in Weitzenb\"ock geometry

## TL;DR

This paper presents new magnetic black hole solutions within teleparallel gravity, revealing how magnetic fields influence torsion and spacetime structure, with detailed analysis of singularities, energy conditions, and conserved quantities.

## Contribution

It introduces novel magnetic black hole solutions in teleparallel gravity with non-trivial torsion scalar influenced by magnetic fields, expanding understanding of such solutions in alternative gravity theories.

## Key findings

- Solutions exhibit asymptotic AdS/dS behavior.
- Torsion scalar depends on magnetic field values.
- Energy conditions and singularities are thoroughly analyzed.

## Abstract

We derive magnetic black hole solutions using a general gauge potential in the framework of teleparallel equivalent general relativity. One of the solutions gives a non-trivial value of the scalar torsion. This non-triviality of the torsion scalar depends on some values of the magnetic field. The metric of those solutions behave asymptotically as Anti-de-Sitter/ de-Sitter (AdS/dS) spacetimes. The energy conditions are discussed in details. Also, we calculate the torsion and curvature invariants to discuss singularities. Additionally, we calculate the conserved quantities using the Einstein-Cartan geometry to understand the physics of the constants appearing into the solutions.