Magnetic black holes in Weitzenböck 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 nontrivial value of the scalar torsion. This nontriviality of the torsion scalar depends on some values of the magnetic field. The metric of those solutions behave asymptotically as antideSitter/deSitter 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 EinsteinCartan geometry to understand the physics of the constants appearing into the solutions.
 Publication:

General Relativity and Gravitation
 Pub Date:
 April 2019
 DOI:
 10.1007/s1071401925350
 arXiv:
 arXiv:1903.11165
 Bibcode:
 2019GReGr..51...50N
 Keywords:

 Teleparallel gravity;
 Black hole solutions;
 Singularities;
 Conserved quantities;
 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Theory
 EPrint:
 14 pages, 3 figures, to appear in General Relativity and Gravitation