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

José P. S. Lemos, Vilson T. Zanchin

Published 1995-11-27Version 1

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.