Nonlinear perturbations of the Kaluza-Klein monopole

Details Nonlinear perturbations of the Kaluza-Klein monopole Nonlinear perturbations of the Kaluza-Klein monopole

2006-04-10

arxiv.org/abs/gr-qc/0604043v2

Phys.Rev.Lett.96:231103,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.96.231103

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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