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Is spacetime flat inside a rotating hollow sphere in general relativity?
Newton himself proved the Shell theorem, stating that inside a hollow sphere there is no gravitational force on a point mass. This theorem relies on the fact that Newtonian gravity falls off like $1/r^...
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How can the universe possess rotational symmetry yet have no center?
From Noether's theorem we understand that conservation of angular momentum means that the laws of nature have rotational symmetry. From cosmology we understand that the universe has no center. But ...
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