Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-09-19
Physical Review D 84, 044046 (2011)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
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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