The magnetic flux across a magnetized Kerr–Newman black hole is examined. It is shown by employing the Ernst–Wild spacetime how the flux across an axially symmetric cap located on the horizon depends on the magnetic field strength and vanishes for certain values of parameters, analogously to the case of an external asymptotically uniform and aligned test magnetic field across extreme black holes. Discussion in terms of intuitive graphs is presented.
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Karas et al. (2000) studied this question.
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