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arxiv: gr-qc/0412023 · v1 · submitted 2004-12-05 · 🌀 gr-qc · astro-ph

Massive scalar field instability in Kerr spacetime

classification 🌀 gr-qc astro-ph
keywords fieldscalarinstabilitykerrmassivespacetimeamplitudebecomes
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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.

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