Massive scalar field instability in Kerr spacetime
Matthew J. Strafuss, Gaurav Khanna
TL;DR
This paper investigates the instability of massive scalar fields in Kerr spacetime, showing that super-radiance leads to unbounded growth of the field's amplitude and estimating the instability's growth rate.
Contribution
It provides a time-domain analysis of scalar field instability in Kerr spacetime and quantifies the growth rate under super-radiant conditions.
Findings
Scalar field becomes unstable under super-radiance
Amplitude grows without bound in the time domain
Growth rate of instability estimated
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.
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