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arXiv · 1402.2848

On the linear stability of the extreme Kerr black hole under axially symmetric perturbations

Sergio Dain·Ivan Gentile de Austria
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Abstract

We prove that for axially symmetric linear gravitational perturbations of the extreme Kerr black hole there exists a positive definite and conserved energy. This provides a basic criteria for linear stability in axial symmetry. In the particular case of Minkowski, using this energy we also prove pointwise boundedness of the perturbation in a remarkable simple way.

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Sergio Dain, Ivan Gentile de Austria. 2014-02-12. On the linear stability of the extreme Kerr black hole under axially symmetric perturbations. https://doi.org/10.1088/0264-9381/31/19/195009

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