Revisiting the charged BTZ metric in nonlinear electrodynamics
General Physics
2012-01-30 v1
Abstract
In contrast to its chargeless version the charged Banados, Taitelboim and Zanelli (BTZ) metric in linear Maxwell electromagnetism is known to be singular at r=0. We show, by employing nonlinear electrodynamics that one obtains charged, extension of the BTZ metric with regular electric field. This we do by choosing a logarithmic Lagrangian for the nonlinear electrodynamics. A Theorem is proved on the existence of electric black holes and combining this results with a duality principle disproves the existence of magnetic black holes in 2+1-dimensions.
Keywords
Cite
@article{arxiv.1201.5831,
title = {Revisiting the charged BTZ metric in nonlinear electrodynamics},
author = {S. Habib Mazharimousavi and M. Halilsoy and T. Tahamtan},
journal= {arXiv preprint arXiv:1201.5831},
year = {2012}
}
Comments
7 pages no figure