Magnetic black holes in Weitzenb\"ock geometry
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.
Keywords
Cite
@article{arxiv.1903.11165,
title = {Magnetic black holes in Weitzenb\"ock geometry},
author = {Gamal G. L. Nashed and Salvatore Capozziello},
journal= {arXiv preprint arXiv:1903.11165},
year = {2019}
}
Comments
14 pages, 3 figures, to appear in General Relativity and Gravitation