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 us to use them when it is reasonable and to avoid incorrect statements, based on inappropriate use of the intuition.

中文翻译：

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再论广义相对论中遥远物体的速度

摘要

在广义相对论中，我们考虑了两个最流行的远程物体速度定义。我们的工作有两个动​​机。从研究的角度来看，我们推广了将Chodorowski发现的FRW度量中的这两个速度与任意同步球对称度量联系起来的公式。从方法论的角度来看，我们的目标是概述所讨论定义的某些反直觉特性，这将使我们可以在合理的情况下使用它们，并避免基于不正确使用直觉的错误陈述。