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Colliding Kaluza–Klein bubbles

Gary T Horowitz and Kengo Maeda

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We construct an exact solution describing the collision of two Kaluza–Klein 'bubbles of nothing' in 3 + 1 dimensions. When the bubbles collide, a curvature singularity forms which is hidden inside an event horizon. However, unlike the formation of ordinary black holes, in this case the spacetime resembles the entire maximally extended Schwarzschild solution. We also point out that there are inequivalent bubbles that can be constructed from Kerr black holes.


PACS

04.20.Jb Exact solutions

04.20.Ha Asymptotic structure

04.50.-h Higher-dimensional gravity and other theories of gravity

MSC

83C15 Exact solutions

83C30 Asymptotic procedures (radiation, news functions, H-spaces, etc.)

83E15 Kaluza-Klein and other higher-dimensional theories

Subjects

Gravitation and cosmology

Dates

Issue 21 (7 November 2002)

Received 14 August 2002

Published 23 October 2002



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