Gravitational instability of an extreme Kerr black hole
Gravitational instability of an extreme Kerr black hole
Aretakis has proved the existence of an instability of a massless scalar field at the horizon of an extreme Kerr or Reissner-Nordstr\"om 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 …