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  Nonlinear perturbations of the Kaluza-Klein monopole

Bizon, P., Chmaj, T., & Gibbons, G. W. (2006). Nonlinear perturbations of the Kaluza-Klein monopole. Physical Review Letters, 96(23): 231103.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4BF2-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4BF3-F
Genre: Journal Article

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prl231103.pdf (Publisher version), 257KB
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Bizon, Piotr1, Author
Chmaj, Tadeusz, Author
Gibbons, Gary W., Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: We consider the nonlinear stability of the Kaluza-Klein monopole viewed as the static solution of the five dimensional vacuum Einstein equations. Using both numerical and analytical methods we give evidence that the Kaluza-Klein monopole is asymptotically stable within the cohomogeneity-two biaxial Bianchi IX ansatz recently introduced in \cite{bcs}. We also show that for sufficiently large perturbations the Kaluza-Klein monopole loses stability and collapses to a Kaluza-Klein black hole. The relevance of our results for the stability of BPS states in M/String theory is briefly discussed.

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 Dates: 2006
 Publication Status: Published in print
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 Identifiers: eDoc: 265093
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Title: Physical Review Letters
Source Genre: Journal
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Pages: - Volume / Issue: 96 (23) Sequence Number: 231103 Start / End Page: - Identifier: -