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Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics

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arxiv hep-th/9903257 v1 pith:HMXWJ4PV submitted 1999-03-30 hep-th

Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics

classification hep-th
keywords fieldblackborn-infeldholesingularsolutionalthoughanti
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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