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On Perturbations of Extreme Kerr–Newman Black Holes and their Evolution

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

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Citation

Reiris, M. (2015). On Perturbations of Extreme Kerr–Newman Black Holes and their Evolution. Annales Henri Poincaré, 16(7), 1551-1581. doi:10.1007/s00023-014-0365-x.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0027-A862-E
Abstract
Using black hole inequalities and the increase of the horizon’s areas, we show that there are arbitrarily small electro-vacuum perturbations of the standard initial data of the extreme Reissner–Nordström black hole that (by contradiction) cannot decay in time into any extreme Kerr–Newman black hole. This proves that, in a formal sense, the reduced family of the extreme Kerr–Newman black holes is unstable. It remains of course to be seen whether the whole family of charged black holes, including those extremes, is stable or not.