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arXiv · 1612.00014

Spinning Kerr black holes with stationary massive scalar clouds: The large-coupling regime

Shahar Hod
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Abstract

We study analytically the Klein-Gordon wave equation for stationary massive scalar fields linearly coupled to spinning Kerr black holes. In particular, using the WKB approximation, we derive a compact formula for the discrete spectrum of scalar field masses which characterize the stationary composed Kerr-black-hole-massive-scalar-field configurations in the large-coupling regime $M\mu\gg1$ (here $M$ and $\mu$ are respectively the mass of the central black hole and the proper mass of the scalar field). We confirm our analytically derived formula for the Kerr-scalar-field mass spectrum with numerical data that recently appeared in the literature.

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Shahar Hod. 2016-11-30. Spinning Kerr black holes with stationary massive scalar clouds: The large-coupling regime. https://doi.org/10.1007/jhep01(2017)030

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