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

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arxiv 1612.00014 v1 pith:M37D6IFS submitted 2016-11-30 hep-th astro-ph.HEgr-qc

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

classification hep-th astro-ph.HEgr-qc
keywords scalarblackmassstationaryanalyticallyfieldformulaholes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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  1. Stationary scalar clouds around a rotating Kalb-Ramond BTZ black hole

    gr-qc 2026-06 unverdicted novelty 4.0

    Stationary scalar clouds exist around rotating KR BTZ black holes at superradiant threshold ω=mΩ_H, with positive KR parameter allowing nonmonotonic existence lines under Robin boundaries.