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 μ ≫ 1 (here M and μ 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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Hod, S. Spinning Kerr black holes with stationary massive scalar clouds: the large-coupling regime. J. High Energ. Phys. 2017, 30 (2017). https://doi.org/10.1007/JHEP01(2017)030
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DOI: https://doi.org/10.1007/JHEP01(2017)030