I always have trouble picturing how, dynamically, a charge inside an event horizon is supposed to be able to propagate an electric field outside the event horizon of a black-hole. (retarded vector potential travels from a charge along light-paths to another point in space-time. There isn't any way for the influence of a point charge to get out?)
Perhaps some other related questions too: Charge and current density is a 4-vector in SR, which transforms along with all the other 4-vectors (momentum-energy 4-vector, etc). In a situation where the effective mass of an object reversibly lowered to the event-horizon (slowly moved relative to the event horizon with small velocity) goes to zero (all the mass energy ends up somewhere else) - wouldn't the effective charge density from a non-infalling external observer's perspective also be going to zero?
If we're just drawing a box around a black-hole and declaring that charge is conserved, we would have as much/little reason to declare any other conservation also holds?