An (unlikely) charged black hole can be described with the mass, angular momentum, charge and the thermal radiation. The reasoning behind the thermal radiation rests on the particle creation outside of the event horizon. What is the reasoning behind the escape of the electric field beyond the event horizon?
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2Related, though I wouldn't call it an exact duplicate: http://physics.stackexchange.com/q/937/ – Feb 20 '15 at 04:12
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Actually this answer to that question does answer the current question. – Ruslan Feb 20 '15 at 07:52
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possible duplicate of Black hole "no hair" theorem – ProfRob Mar 22 '15 at 16:38
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A field isn't a 'thing' that can be sucked into a BH. A field is a mathematical object that has value(s) at every point in space. There is no reason to ad hoc assume that the EM field outside of a BH is zero. – Jold Mar 22 '15 at 16:59
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Related: http://physics.stackexchange.com/q/149581/2451 , http://physics.stackexchange.com/q/168890/2451 , http://physics.stackexchange.com/q/235253/2451 and links therein. – Qmechanic Mar 23 '15 at 01:05
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The charge of the black hole isn't actually related to whatever is inside the black hole so much as a statement about the fields surrounding the black hole. This is a static field, so there's no problem or contradiction with the fact that we can't communicate with the "inside" of the black hole.