The last word from Prof. Hamilton
:
An interesting response Tashja and once again thanks for all of your effort, on our behalf.
If we are talking about GR and solutions to EFE in a theoretical context...,
I have always thought of any electromagnetic or electrically charged fields associated with a black hole, as resulting from the dynamics of the spacetime outside of the event horizon... The word spacetime used here for simplicity and perhaps not the best term, since in this context, as far as any electric and/or EM field is involved I am referring to not just the classical and/or relativistic geometry of spacetime outside of an event horizon, but also the dynamics of the mass and energy associated with that spacetime geometry. Which would place the origin of the field outside of the year vent horizon.
This seems to be consistent with the following from Prof. Hamilton's comments,
"Real astronomical black holes live in galaxies with an interstellar medium. The interstellar medium contains both positive and negative charges (protons and electrons, mainly)."
As long as the long-range electric field originates in that interstellar medium, rather than with the mass of a black hole which lies inside of an event horizon. I have some difficulty understanding how a field that propagates at the speed of light can extend outward across an event horizon... Even when discussing the issue confined to GR and a theoretical context.
-----------
If on the other hand we are discussing how
real astronomical black holes, interact with the matter, energy and geometry of spacetime around them, I am inclined to think that what we currently believe to be black holes, are actually compact massive objects, that will at some point be described within the context of quantum theory.., and that once the theoretically predicted singularity is set aside, there would be no reason that a long-range electric or even EM field of a charged compact mass, could not interact with anything within the field. Once the singularity is dispensed with, even the concept of an event horizon as it exists today will be questionable and there would be nothing but distance, separating the compact mass and any associated field from the rest of spacetime...
I believe that quoted comments from both Prof. Misner (recently) and I think it was Prof. Moore in an earlier thread, both used "compact object" when referring to a black hole in an astronomical context... I don't claim that either of them agree with anything I just said.