Velocities of distant objects in General Relativity revisited

Abstract

We consider two most popular definitions of velocities of remote objects in General Relativity. Our work has two motivations. From a research point of view, we generalize the formula connecting these two velocities in FRW metrics found by Chodorowski to arbitrary synchronous spherically symmetric metrics. From a methodological point of view, our goal is to outline certain counter-intuitive properties of the definitions in question, which would allow to use them when it is reasonable and to avoid incorrect statements, based on inappropriate use of intuition.

arXiv comment13 pages, no figures, small improvement of the text

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• Flow and peculiar velocities for generic motion in spherically symmetric black holes
• Interpretations of cosmic expansion: anchoring conceptions and misconceptions