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The Three-Dimensional BTZ Black Hole as a Cylindrical System in Four-Dimensional General Relativity

José P. S. Lemos, Vilson T. Zanchin

hep-tharXiv:hep-th/9511189

Abstract

It is shown how to transform the three dimensional BTZ black hole into a four dimensional cylindrical black hole (i.e., black string) in general relativity. This process is identical to the transformation of a point particle in three dimensions into a straight cosmic string in four dimensions.

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