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Velocities of Distant Objects in General Relativity Revisited

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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.

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ACKNOWLEDGMENTS

The authors are grateful to Sergey Popov for discussions.

Funding

The work was supported by the Program ‘‘Leading Science School MSU (Physics of Stars, Relativistic Compact Objects and Galaxies).’’

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Authors and Affiliations

  1. Physical Faculty, Lomonosov Moscow State University, 119991, Moscow, Russia

    E. D. Emtsova

  2. Sternberg Astronomical Institute, Lomonosov Moscow State University, 119991, Moscow, Russia

    E. D. Emtsova & A. V. Toporensky

  3. Faculty of Physics, Higher School of Economics, Moscow, Russia

    E. D. Emtsova

Authors
  1. E. D. Emtsova
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  2. A. V. Toporensky
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Emtsova, E.D., Toporensky, A.V. Velocities of Distant Objects in General Relativity Revisited. Gravit. Cosmol. 26, 50–60 (2020). https://doi.org/10.1134/S0202289320010053

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  • DOI: https://doi.org/10.1134/S0202289320010053

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