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

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.

Latex, 9 pages

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Cited by in corpus (14)

• Rotating Charged Black Strings in General Relativity
• Stationary Black Holes in a Generalized Three-Dimensional Theory of Gravity
• Polytropic stars in three-dimensional spacetime
• Global aspects of gravitomagnetism
• Four dimensional string solutions in Hořava-Lifshitz gravity
• Investigation the geodesic motion of three dimensional rotating black holes
• Loop variables in the geometry of a rotating black string
• Quantum Pair Creation of Soliton Domain Walls
• Thin shells associated to black string spacetimes
• Black String and Gödel type Solutions of Chern-Simons Modified Gravity
• Black Strings in Hořava-Lifshitz Gravity
• Velocity and Heat Flow in a Composite Two Fluid System
• Massless scalar fields and topological black holes
• Spinor solutions of a Chern-Simons model for the superconformal algebra