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It is shown that Kerr-Newman black holes can support linear charged scalar fields in their exterior regions.
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One obvious exception to this statement is provided by the black-hole electric field. However, this field is associated with a globally conserved charge
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For the case of marginally bound ( ω = μ \omega=\mu ) states of a charged scalar field in the extremal Reissner-Nordström black-hole spacetime, see J. C. Degollado and C. A. R. Herdeiro, Gen. Rel. Grav. 45
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C. A. R. Herdeiro and E. Radu, Phys. Rev. Lett. (2014) [arXiv:1403.2757]
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