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Nonlinear perturbations of the Kaluza-Klein monopole

Piotr Bizoń·Tadeusz Chmaj·Gary Gibbons
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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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Piotr Bizoń, Tadeusz Chmaj, Gary Gibbons. 2006-04-11. Nonlinear perturbations of the Kaluza-Klein monopole. https://doi.org/10.1103/physrevlett.96.231103

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