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arxiv: 1107.0242 · v2 · pith:GITEEOTHnew · submitted 2011-07-01 · 🌀 gr-qc

Regular charged black hole construction in 2+1 -dimensions

classification 🌀 gr-qc
keywords blackholechargeddimensionalregularsolutionspacetimeterm
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It is well-known that unlike its chargeless version the charged Banados-Teitelboim-Zanelli (BTZ) black hole solution in 2+1- dimensional spacetime is singular. We construct a charged, regular extension of the BTZ black hole solution by employing nonlinear Born-Infeld electrodynamics, supplemented with the Hoffmann term and gluing different spacetimes. The role of the latter term is to divide spacetime in a natural way into two regions by a circle and eliminate the inner singularity. Thermodynamics of such a black hole is investigated by Kaluza-Klein reduction to the 1+1-dimensional dilaton gravity.

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