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arXiv · 1311.5298

Stationary resonances of rapidly-rotating Kerr black holes

Shahar Hod
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Abstract

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.

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Shahar Hod. 2013-11-21. Stationary resonances of rapidly-rotating Kerr black holes. https://doi.org/10.1140/epjc%2Fs10052-013-2378-x

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