Nonlinear perturbations of the Kaluza-Klein monopole

Bizon, Piotr; Chmaj, Tadeusz; Gibbons, Gary W.

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Nonlinear perturbations of the Kaluza-Klein monopole

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Bizon, Piotr
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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prl231103.pdf
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0604043.pdf
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Citation

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

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4BF2-2

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.