Phys. Rev. Lett. 96, 231103 (2006) [4 pages]Nonlinear Perturbations of the Kaluza-Klein MonopoleReceived 10 April 2006; published 16 June 2006 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 type-IX ansatz recently introduced by Bizoń, Chmaj, and Schmidt [ Phys. Rev. Lett. 95 071102 (2005)]. 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 Bogomol’nyi-Prasad-Sommerfield states in M or string theory is briefly discussed. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.231103
DOI:
10.1103/PhysRevLett.96.231103
PACS:
04.50.+h
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.