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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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6 pages

Scientific paper

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.

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