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What happens to an embedded magnetic field when a black hole is formed from rotating charged dust?
It is well stablished that the only hair a black hole can have is:
mass
angular momentum
electric charge
But I can't help but wonder about the last two: a rotating charge will generate a current, that will generate a magnetic field. So, how is it even possible that the electric charge and angular momentum together will not generate a magnetic field?
Since we are forbidden by the event horizon to measure any distribution of the electric charge, it means that the charge must be evenly distributed over the event horizon, and for sure we know that a rotating charged shell will generate a magnetic field
What is amiss in this picture?
