Massive scalar field instability in Kerr spacetime

Abstract

We study the Klein-Gordon equation for a massive scalar field in Kerr spacetime in the time-domain. We demonstrate that under conditions of super-radiance, the scalar field becomes unstable and its amplitude grows without bound. We also estimate the growth rate of this instability.

10 pages, 5 figures

References in corpus (7)

• The black hole bomb and superradiant instabilities
• Small Kerr-anti-de Sitter black holes are unstable
• Dynamics of perturbations of rotating black holes
• Universality of massive scalar field late-time tails in black-hole spacetimes
• A superradiance resonance cavity outside rapidly rotating black holes
• On the stability of the Kerr metric
• Dynamics of scalar fields in the background of rotating black holes II: A note on superradiance

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