I think you will find that the charge repulsion never exceeds the gravitational attraction in this way. The mass of a black hole places a bound on how much charge it can have; if the bound is exceeded, you get a naked singularity. You may actually be rediscovering this!
ETA: The two horizons you mentioned earlier merge when this bound is reached. I suppose this means that if you try to shoot a charge into one of these “extremal” black holes, the charge will be repelled outside the event horizon. That would be a consistent way for everything to work out, so that the bound can never be violated. But I will have to check.
I suppose this means that if you try to shoot a charge into one of these “extremal” black holes, the charge will be repelled outside the event horizon.
You could be right, but how? I inject enough electrons into the black hole to maintain it at as high a charge as possible. Then I launch more electrons from a platform that is doing a slighshot pass right by the event horizon. And I dedicate the energy from a nearby star to shooting photons at it to force the extra particles in...
And even forgetting extreme options. Just why? If the black hole is not charged to a level that will repel electrons it will attract them. Add more and they will just hover there without accelerating. Add more still and they will be repelled. This works unless weird math comes in to play.
Red suggests discharge via Hawking radiation. I would not be able to rule out some sort of asymptotic increase in Hawking Radiation discharge toward my electron input rate. (Basically because I don’t know how Hawking Radiation works.)
I had never heard the term before but that is just where my thoughts were leading me.
Looking a bit more closely it would seem that ‘strong’ forces would ensure there is always at least a tiny horizon at which even electrons couldn’t escape no matter what the charge. (And if there wasn’t the thing would fall apart). It just doesn’t matter how big you make the charge. ‘Squared’ just doesn’t cut it. So while the electrons would return from where even photons could not escape they would still get stuck if they went deep enough. But I don’t know where things like strong forces start to break down...
I think you will find that the charge repulsion never exceeds the gravitational attraction in this way. The mass of a black hole places a bound on how much charge it can have; if the bound is exceeded, you get a naked singularity. You may actually be rediscovering this!
ETA: The two horizons you mentioned earlier merge when this bound is reached. I suppose this means that if you try to shoot a charge into one of these “extremal” black holes, the charge will be repelled outside the event horizon. That would be a consistent way for everything to work out, so that the bound can never be violated. But I will have to check.
You could be right, but how? I inject enough electrons into the black hole to maintain it at as high a charge as possible. Then I launch more electrons from a platform that is doing a slighshot pass right by the event horizon. And I dedicate the energy from a nearby star to shooting photons at it to force the extra particles in...
And even forgetting extreme options. Just why? If the black hole is not charged to a level that will repel electrons it will attract them. Add more and they will just hover there without accelerating. Add more still and they will be repelled. This works unless weird math comes in to play.
Red suggests discharge via Hawking radiation. I would not be able to rule out some sort of asymptotic increase in Hawking Radiation discharge toward my electron input rate. (Basically because I don’t know how Hawking Radiation works.)
I had never heard the term before but that is just where my thoughts were leading me.
Looking a bit more closely it would seem that ‘strong’ forces would ensure there is always at least a tiny horizon at which even electrons couldn’t escape no matter what the charge. (And if there wasn’t the thing would fall apart). It just doesn’t matter how big you make the charge. ‘Squared’ just doesn’t cut it. So while the electrons would return from where even photons could not escape they would still get stuck if they went deep enough. But I don’t know where things like strong forces start to break down...
BTW, it seems that charged black hole will discharge via Hawking radiation.