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The random-motion theorem in a local cosmology with dark energy

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Abstract

It is shown that the random-motion theorem in cosmology proven in the early 1960s can be generalized to take into account the presence of a uniform dark-energy background. The role of the dark energy is substantial: its repulsive force exceeds the gravitational force due to darkmatter and baryons, both on the scale of the Universe as a whole and on local scales of about 1 Mpc. The generalized random-motion theorem has the form of a differential equation relating the kinetic energy of the random motion and the potential energy of the particles due to their own gravitational field and the repulsive dark-energy field. One consequence of the generalized theorem is a virial relation containing the potential energy in the repulsive field.

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Authors and Affiliations

  1. Sternberg Astronomical Institute, Moscow State University, Moscow, Russia

    A. D. Chernin, V.P. Dolgachev & L.M. Domozhilova

  2. Tuorla Observatory, University of Turku, Turku, Finland

    A. D. Chernin, P. Teerikorpi & M. Yu. Valtonen

Authors
  1. A. D. Chernin
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  2. V.P. Dolgachev
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  3. L.M. Domozhilova
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  4. P. Teerikorpi
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  5. M. Yu. Valtonen
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Additional information

Original Russian Text © A.D. Chernin, V.P. Dolgachev, L.M. Domozhilova, P. Teerikorpi, M.Yu. Valtonen, 2010, published in Astronomicheskiĭ Zhurnal, 2010, Vol. 87, No. 3, pp. 211–217.

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Chernin, A.D., Dolgachev, V., Domozhilova, L. et al. The random-motion theorem in a local cosmology with dark energy. Astron. Rep. 54, 185–191 (2010). https://doi.org/10.1134/S1063772910030017

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  • DOI: https://doi.org/10.1134/S1063772910030017

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