I keep trying to make the point that Gravity has always been formulated as an ATTRACTIVE FORCE. However, there is no "Equal and opposite." Therefore, Gravity, as formulated in the Universal Law of Gravitation, is a "Pseudo-force," and the mathematics has severe limitiatiions. The formulation is for two hard spheres of known "mass" and radius, who are attracted toward their mutual center of gravity. If one "Sphere" be much greater in mass than the other the mutual center of gravity is very near the center of that one.
If one goes back to the Ancient Greeks and more or less accepts their ideas of an Aether, a universal something, and Atomos, a smallest unit of that something--we may never know the extent of the Aether or the size of the Atomos--one may postulate that the Actual Force, that Isaac formulated is the "Pressure of All That Exists" as expressed at any given point.
Looked at this way, the two units are being pressed together into each others "shadows" as there is less of the "Universal Aether/Substance/Substrate between them.
If the formula be looked at in this manner, it can be seen that the real effect of the mass of a given bit of matter is to partially block the surrounding pressure in a given direction.
Used this way, the principle can applied to multiple "shadings" within a unit. That is each and every matter unit within the unit under consideration will block the pressusre behind it. (Al Zeeper, a Canadian theorist calls Gravitation the result of 'photon pressure,' which is probably as good a name for the pressure phenomenon as any.)
This blockage of pressure creates a shadow cone toward the center of the unit under consideration which will tend to block pressure from all directions and create a dot in the center of maximum "darkness," or lack of pressure.
The push into this point from the pressure behind any one of the component units will exactly mimic the situation that would arise were all of the other units combined as a mass at that point. Therefore, we can go back to the Law of Universal Gravitation to determine the value of that total mass, assuming that we know the mass of the one unit we focused upon.
In short, yes, ther is something there where people see Black Holes, it acts as if it were a Mass. It could be considered as a "negative mass," if one wishes to. Yes, you can figure a size for it. It would be the size that all the matter involved would have were that matter all pressed together about this point. Is it an all devouring hole? No. A material object that entered this spot would simply go on and, probably, end up eventually orbiting it...There is no need for there to be a material object at that position. This is not to say that the position will be necessarily "empty."
Incidentally, I consider the "Shell Theorem" as probably in error, as it appears to be based on the "Pseudo-force" formulation of Gravity.
I suppose that this is as clear as mud, and you still are in love with the Classic Black Hole.
The ironic thing is that predecessors of Galaxies could well have been what might be called "Grey Holes," powerful, rotating oscillators in the "Substance of Existence" which sucked matter into and around themselves, eventually filling up to lose the powerful rotation and develop into Galaxies. There is some evidence that would suggest Quasars to possibly be such units.