How to Create a 2-D Black Hole

Abstract

The interaction of a cosmic string with a four-dimensional stationary black hole is considered. If a part of an infinitely long string passes close to a black hole it can be captured. The final stationary configurations of such captured strings are investigated. A uniqueness theorem is proved, namely it is shown that the minimal 2-D surface $\Sigma$ describing a captured stationary string coincides with a {\it principal Killing surface}, i.e. a surface formed by Killing trajectories passing through a principal null ray of the Kerr-Newman geometry. Geometrical properties of principal Killing surfaces are investigated and it is shown that the internal geometry of $\Sigma$ coincides with the geometry of a 2-D black or white hole ({\it string hole}). The equations for propagation of string perturbations are shown to be identical with the equations for a coupled pair of scalar fields 'living' in the spacetime of a 2-D string hole. Some interesting features of physics of 2-D string holes are described. In particular, it is shown that the existence of the extra dimensions of the surrounding spacetime makes interaction possible between the interior and exterior of a string black hole; from the point of view of the 2-D geometry this interaction is acausal. Possible application of this result to the information loss puzzle is briefly discussed.

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References in corpus (5)

• Cosmic strings
• Black Hole Evaporation along Macroscopic Strings
• Propagation of perturbations along strings
• Perturbations of a topological defect as a theory of scalar fields interacting with an external vector potential
• STATIONARY STRINGS AND 2-D BLACK HOLES

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• Capture and Critical Scattering of a Long Cosmic String by a Rotating Black Hole
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• Rigidly Rotating String Sticking in a Kerr Black Hole
• Stationary black holes with stringy hair
• Simulating cosmic string loop captured by a rotating black hole
• Principal Killing strings in higher-dimensional Kerr-NUT-(A)dS spacetimes
• Strings in Kerr-Newmann Black Holes
• Brane Holes
• Cosmic Strings and Black Holes