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Stationary resonances of rapidly-rotating Kerr black holes

The Klein-Gordon equation for a massive scalar field in the background of a rapidly-rotating Kerr black hole is studied analytically. In particular, we derive a simple formula for the stationary (marginally-stable) resonances of the field in the black-hole spacetime. The analytically derived formula is shown to agree with direct numerical computations of the resonances. Our results provide an upper bound on the instability regime of rapidly-rotating Kerr black holes to massive scalar perturbations.

preprint2013arXivOpen access
Shahar Hod
astro-ph.HEgr-qchep-th
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Shahar Hod

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