The Hubble stream near a massive object: the exact analytical solution for the spherically-symmetric case

Anton N. Baushev

doi:10.1103/PhysRevD.102.083529

The Hubble stream near a massive object: the exact analytical solution for the spherically-symmetric case

Cosmology and Nongalactic Astrophysics 2020-10-28 v2 Astrophysics of Galaxies High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology

Authors: Anton N. Baushev

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Abstract

The gravitational field of a massive object (for instance, of a galaxy group or cluster) disturbs the Hubble stream, decreasing its speed. Dependence $v(r_0)$ of the radial velocity of the stream from the present-day radius $r_0$ can be directly observed and may provide valuable information about the cluster properties. We offer an exact analytical relationship $v(r_0)$ for a spherically-symmetric system.

Keywords

hubble flow spherically symmetric system analytical solution gravitational field radial velocity galaxy cluster

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@article{arxiv.2004.01427,
  title  = {The Hubble stream near a massive object: the exact analytical solution for the spherically-symmetric case},
  author = {Anton N. Baushev},
  journal= {arXiv preprint arXiv:2004.01427},
  year   = {2020}
}

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6 pages, 3 figures, accepted to Physical Review D

The Hubble stream near a massive object: the exact analytical solution for the spherically-symmetric case

Abstract

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