The field is decreased inside the shell (on the surface of "B," for instance) and increased outside it. The total energy decrease in the combined gravitational fields should equal the e=mc2 equivalent of S.
I suppose. Phys can check me.
Physicist, based on your post here, AndrewC has proposed the following Stump-the-Dummies game:
1) Your link gives me pause. Suppose you have 2 masses A and B separated by some distance R1. Is there a non-zero gravitational field between them?Your comments are appreciated.(Answer: Yes.)
2) Okay then, what happens to that field when a thin spherical shell of R0 < R1 with mass S is placed around "B"?
(Answer given above.)