According to the shell theorem  the gravitational force on a test mass
inside a hollow sphere is every where zero. This paper argues that this
situation is not equivalent from the standpoint of General Relativity to
the situation where gravity falls to zero far outside the sphere. They
conclude that General Relativity predicts that a clock located inside a
hollow sphere should run slower than a clock located outside the hollow
sphere. (By contrast most people are familiar with the fact that General
relativity predicts a clock should run faster as the force of gravity
approaches zero far from a gravitational body) This could provide a
laboratory test of Newtonian gravity which predicts that both clocks should
run at the same rate.


https://arxiv.org/pdf/1203.4428.pdf


Harry

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