Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics
High Energy Physics - Theory
2009-10-31 v1
Abstract
A nonlinear charged version of the (2+1)-anti de Sitter black hole solution is derived. The source to the Einstein equations is a Born-Infeld electromagnetic field, which in the weak field limit becomes the (2+1)-Maxwell field. The obtained Einstein-Born-Infeld solution for certain range of the parameters (mass, charge, cosmological and Born-Infeld constants) represent a static circularly symmetric black hole. Although the covariant metric components and the electric field do not exhibit a singular behavior at r=0 the curvature invariants are singular at that point.
Cite
@article{arxiv.hep-th/9903257,
title = {Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics},
author = {Mauricio Cataldo and Alberto Garcia},
journal= {arXiv preprint arXiv:hep-th/9903257},
year = {2009}
}
Comments
5 pages, 1 figure, Latex. To appear in Phys. Lett. B