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

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 $M\mu \gg 1$ (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.

7 pages

References in corpus (22)

• Weak Cosmic Censorship: As Strong as Ever
• A new spin on black hole hair
• Non-linear Q-clouds around Kerr black holes
• Scalarized Hairy Black Holes
• Iron K$\alpha$ line of Kerr black holes with scalar hair
• Myers-Perry black holes with scalar hair and a mass gap
• The large-mass limit of cloudy black holes
• Extremal Kerr-Newman black holes with extremely short charged scalar hair
• Rotating black holes can have short bristles
• Kerr-Newman black holes with scalar hair
• Myers-Perry black holes with scalar hair and a mass gap: unequal spins
• Numerical study of superradiant instability for charged stringy black hole-mirror system
• A no-short scalar hair theorem for rotating Kerr black holes
• Onset of superradiant instabilities in the composed Kerr-black-hole-mirror bomb
• Superradiant instability of the charged scalar field in stringy black hole mirror system
• Superradiant instability of D-dimensional Reissner-Nordström black hole mirror system
• Scalar clouds in charged stringy black hole-mirror system
• Effect of scalar field mass on gravitating charged scalar solitons and black holes in a cavity
• Eigenvalue spectrum of the spheroidal harmonics: A uniform asymptotic analysis
• Analytical study of superradiant instability for five-dimensional Kerr-Gödel black hole
• Resonance spectra of caged black holes
• The spinning Kerr-black-hole-mirror bomb: A lower bound on the radius of the reflecting mirror

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• Obstructions towards a generalization of no-hair theorems: I. Scalar clouds around Kerr black holes
• On the (non) existence of superregular boson clouds around extremal Kerr black holes and its connection with number theory
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• Stationary scalar clouds supported by rapidly-rotating acoustic black holes in a photon-fluid model
• No-short scalar hair theorem for spinning acoustic black holes in a photon-fluid model
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair
• No-go theorem for spatially regular boson stars made of static nonminimally coupled massive scalar fields