Does a gravitational red shift necessarily imply space-time curvature?

Physics

Scientific paper

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Classical General Relativity

Scientific paper

Schild' has proposed a heuristic agrument which attempts, to show that
any gravitational red shift requires that the geometry of space-time be
curved. It is our intention to show that this argument is fallacious and
we believe that no argument which attempts to infer space-time curvature
solely from the gravitational red shift can be valid.

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