# 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}
}
• Published 7 August 2012
• Physics
• Physical Review D
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…
• Physics
• 2013
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• 2021
For scalar perturbations of an extreme Reissner-Nordstr\"om black hole we show numerically that the Ori prefactor equals the Aretakis conserved charge. For a family of scalar or gravitational
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A massless scalar field exhibits an instability at the event horizon of an extreme black hole. We study numerically the nonlinear evolution of this instability for spherically symmetric perturbations
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• 2018
We show that scalar, electromagnetic, and gravitational perturbations of extremal Kerr black holes are asymptotically self-similar under the near-horizon, late-time scaling symmetry of the background
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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
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Extreme black holes have been argued to be unstable, in the sense that under linearized gravitational perturbations of the extreme Kerr spacetime the Weyl scalar $\psi_4$ blows up along their event
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We study real-time propagation of a massive scalar field on the extremal BTZ black hole spacetime, focusing on the Aretakis instability of the event horizon. We obtain a simple time-domain expression
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Journal of High Energy Physics
• 2020
We study real-time propagation of a massive scalar field on the extremal BTZ black hole spacetime, focusing on the Aretakis instability of the event horizon. We obtain a simple time-domain expression

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