Amplifies? The Schwarzschild spacetime (which behaves like Newtonian gravitational field in large distance limit) needs only one point-like massive object. What do you expect as a non-negligible difference made by (non-)existence of distant objects?
What do you expect as a non-negligible difference made by (non-)existence of distant objects?
The fact that there's no longer a frame against which to measure local rotation in any sense other than its rotation relative to the frame of the other body. So it makes a big difference what counts as "the rest of the universe".
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