Quasinormal resonances of a massive scalar field in a near-extremal Kerr black hole spacetime

Abstract

The fundamental resonances of near-extremal Kerr black holes due to massive scalar perturbations are derived {\it analytically}. We show that there exists a critical mass parameter, ${\mu }_c$, below which increasing the mass $\mu$ of the field increases the oscillation frequency $\Re (\omega )$ of the resonance. On the other hand, above the critical field mass increasing the mass $\mu$ increases the damping rate $\Im (\omega )$ of the mode. We confirm our analytical results by numerical computations.

6 pages

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