Gravitational instability of an extreme Kerr black hole

@article{Lucietti2012GravitationalIO,
  title={Gravitational instability of an extreme Kerr black hole},
  author={James Lucietti and Harvey S. Reall},
  journal={Physical Review D},
  year={2012},
  volume={86},
  pages={104030}
}
Aretakis has proved the existence of an instability of a massless scalar field at the horizon of an extreme Kerr or Reissner-Nordstrblack hole: for generic initial data, a transverse derivative of the scalar field at the horizon does not decay, and higher transverse derivatives blow up. We show that a similar instability occurs for linearized gravitational, and electromagnetic, perturbations of an extreme Kerr black hole. We show also that the massless scalar field instability occurs for… 

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