This question may help me learn more about the subtleties involved between the notions of gravity, in the Newtonian sense and those of curved spacetime, in the General Relativity sense.
I will take the risk that it may also show my lack of understanding of basic GR concepts.
Unfortunately, any possible answers may be a matter of interpretation and/or opinion, as although GR has been confirmed in many ways, we are , as far as I know, lacking direct observational evidence of it's more exotic aspects, such as Black Holes.
No offence intended, but personal opinions as to what is inside a black hole are not intended as part of the question, I just want to stick to the question on a physical basis only.
My question is based on a comment by Kip Thorne, in essence, saying that "inside" a Black Hole is empty and that thinking there is crushed matter of any kind inside is an incorrect intuitive picture.
If the material that is the source of the black hole no longer exists, (gone to another universe, down a wormhole to another part of our universe, or whatever, take your pick of possible outcomes), how can we still be affected by it, either gravity wise or curved spacetime wise?
In other words, if the mass is gone, it's gone, so how can we still feel the effects of it, unless time runs so slowly at the proposed event horizon that, for coordinate observers, it's effects are always felt?
EDIT What Thorne actually says is "the matter is gone, it's completely destroyed, it no longer exists", Quantum Physics, PBS NOVA on YouTube so
Ernie's answer has validity, imo and
It's a NOVA production, not a peer reviewed article in a generally accepted publication, it may be taken as a broad popularisation. END EDIT
Apologies if there is a duplicate somewhere on this site, I could not see one in the suggestions as I wrote this question.