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arXiv · hep-th/9903257

Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics

Mauricio Cataldo·Alberto Garcia
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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.

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BibTeXRIS

Mauricio Cataldo, Alberto Garcia. 1999-03-30. Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics. https://doi.org/10.1016/s0370-2693(99)00441-4

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