Gravitational instability of an extreme Kerr black hole
arXiv:1208.1437 · doi:10.1103/PhysRevD.86.104030
Abstract
Aretakis has proved the existence of an instability of a massless scalar field at the horizon of an extreme Kerr or Reissner-Nordstrom black 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 extreme black hole solutions of a large class of theories in various spacetime dimensions.
arXiv comment13 pages. v2: minor clarifications. v3: minor changes, published version
References in corpus (11)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- The Kerr/CFT Correspondence
- Near-horizon symmetries of extremal black holes
- Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I
- Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations II
- A classification of near-horizon geometries of extremal vacuum black holes
- Lectures on black holes and linear waves
- Extremal vacuum black holes in higher dimensions
- Phase Space Analysis on some Black Hole Manifolds
- The dangers of extremes
- Instabilities in Kerr Spacetimes
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