Three-dimensional black hole from a stringy anti-de Sitter background

Mathematics – Logic

Scientific paper

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Classical Black Holes, Lower Dimensional Models, Minisuperspace Models, Compactification And Four-Dimensional Models

Scientific paper

A new black hole solution in 2+1 dimensions is found by taking cosmic strings as part of the vacuum structure of the anti-de Sitter space-time. The solution has a structure that in many ways is similar to that of the Reissner-Nordström solution. With a vanishing cosmological constant, a space-time with a black hole of infinite extension appears with the inner horizon playing the role of a cosmological event horizon. The timelike and null geodesics are discussed. In particular it is shown that photons may follow conic sections.

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