Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics

Details Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics

1999-03-30

arxiv.org/abs/hep-th/9903257v1

Phys.Lett. B456 (1999) 28-33

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure, Latex. To appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(99)00441-4

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.

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