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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

classification hep-thastro-ph.HEgr-qc
keywords scalarblackmassstationaryanalyticallyfieldformulaholes
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stationary scalar clouds around a rotating BTZ-like black hole in the Einstein-bumblebee gravity

    gr-qc 2025-01 conditional novelty 6.0 of 10

    Fundamental stationary scalar clouds exist around rotating BTZ-like black holes in Einstein-bumblebee gravity, with the Lorentz-breaking parameter and angular quantum number having opposite effects and sometimes produ...

  2. Stationary scalar clouds around a rotating Kalb-Ramond BTZ black hole

    gr-qc 2026-06 unverdicted novelty 4.0 of 10

    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.

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