Rotating Black Hole in a Combined Electromagnetic Field

In this study, we investigate the structure of electromagnetic fields around rotating (Kerr) black holes. We analyze the combined field solutions resulting from the superposition of a uniform magnetic field and a split-monopole field. We compute the electromagnetic field components as measured by Zero-Angular-Momentum Observers (ZAMOs) and visualize the resulting field line configurations. Our results show that the relative orientation of the two field components leads to distinct topologies: aligned components produce paraboloidal jet-like fields, while opposing components create loop-like structures conducive to magnetic reconnection. We also examine the Meissner-like effect for rapidly spinning black holes and the influence of black hole charge and external field parameters on the magnetic flux threading the horizon. Throughout this work, we employ the test-field approximation, treating the electromagnetic field as a perturbation that does not backreact on the spacetime geometry.

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