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Interaction of higher-dimensional rotating black holes with branes

Valeri P Frolov1, Dmitri V Fursaev2 and Dejan Stojković3

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We study interaction of rotating higher-dimensional black holes with a brane in spacetimes with large extra dimensions. We demonstrate that in a general case a rotating black hole attached to a brane can lose bulk components of its angular momenta. A stationary black hole can have only those components of the angular momenta which are connected with Killing vectors generating transformations preserving a position of the brane. In a final stationary state the null Killing vector generating the black hole horizon is tangent to the brane. We discuss first the interaction of a cosmic string and a domain wall with the 4D Kerr black hole. We then prove the general result for slowly rotating higher-dimensional black holes interacting with branes. The characteristic time when a rotating black hole with gravitational radius r0 reaches this final stationary state is T ~ rp−10/(Gσ), where G is the higher-dimensional gravitational coupling constant, σ is the brane tension and p is the number of extra dimensions.


PACS

04.70.Bw Classical black holes

11.25.-w Strings and branes

97.60.Lf Black holes

11.27.+d Extended classical solutions; cosmic strings, domain walls, texture

MSC

83C35 Gravitational waves

83E15 Kaluza-Klein and other higher-dimensional theories

83C75 Space-time singularities, cosmic censorship, etc.

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 14 (21 July 2004)

Received 13 March 2004

Published 23 June 2004



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