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New Theories / Re: Can black hole be electrically charged?
« on: Yesterday at 07:03:24 »If electrons are continuously shot into a black hole (from beta radiation or electron gun), will it be electrically charged?
Yep. That's conservation of electric charge. There is an upper limit of the amount of charge that a black hole can carry (for a given mass, that is), though. For reasons that I do not understand, adding electric charge to a black hole causes the formation of an inner horizon in addition to the outer event horizon. As more charge is added, those two horizons get closer together in size. If the charge was sufficiently large, the horizons would merge (canceling each other out) and you'd end up with a naked singularity. Creating a naked singularity is currently thought to be impossible by general scientific consensus.
Can the charge be sensed from outside, i.e. the Coulomb force?
Yes. That's actually the mechanism that prevents a black hole from becoming "over-charged" and creating a naked singularity. As the black hole becomes more charged, the repulsive force makes it more and more difficult to add extra charge to the hole. In order to overcome that repulsion, the charged particles must be injected with increasingly high energy. Since that energy is the same as mass to a black hole, the black hole's mass also increases along with its charge.
How does the black hole mass affect the strength of Coulomb force, by modifying the distance from an outside object?
I have to admit, I don't know the answer to that one.