Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Liouville's theorem and the velocity field of galaxies

Abstract

Did the large-scale distribution of matter in the Universe evolve by a dissipationless process (such as hierarchical clustering) or is it the result of a strongly dissipative event (such as the ‘pancake’ scenario)? If the distribution of galaxies in the Universe can be treated as a dissipationless fluid, then an application of Liouville's theorem predicts a linear relationship between the observed galaxy density and the cube of the velocity dispersion as measured at any point in space. Evidence from existing cluster data is presented here which supports this hypothesis.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

References

  1. Abell, G. O. Astrophys. J. Suppl. 31, 211–288 (1958).

    Article  ADS  Google Scholar 

  2. Struble, M. F. & Rood, H. J. Astr. J. 87, 7–39 (1982).

    Article  ADS  Google Scholar 

  3. Struble, M. F. & Rood, H. J. Astr. J. 89, 1487–1513 (1984).

    Article  ADS  Google Scholar 

  4. Geller, M. J. & Huchra, J. P. Astrophys. J. Suppl. 52, 61–84 (1983).

    Article  ADS  Google Scholar 

  5. Felten, J. E. Astr. J. 82, 861–878 (1977).

    Article  ADS  Google Scholar 

  6. Tammann, G. A., Yahil, A. & Sandage, A. Astrophys. J. 234, 775–784 (1980).

    Article  ADS  Google Scholar 

  7. Ellis, R. in The Origin and Evolution of Galaxies (eds Jones, B. J. T. & Jones, J. E.) 255–296 (Reidel, Dordrecht, 1983).

    Book  Google Scholar 

  8. Fesenko, B. I. Soviet Astr. 17, 314–316 (1973).

    ADS  Google Scholar 

  9. Tsvetkov, D. Yu. Soviet Astr. 25, 416–420 (1981).

    ADS  Google Scholar 

  10. Huchtmeier, W. K. in Clusters and Groups of Galaxies (eds Mardirossian, F., Giuricin, G. & Mazzetti, M. 221–242 (Reidel, Dordrecht, 1983).

    Google Scholar 

  11. Davis, M. & Peebles, P. J. E. Astrophys. J. 267, 465–482 (1984).

    Article  ADS  Google Scholar 

  12. Sandage, A. & Tammann, G. A. Astrophys. J. 210, 7–24 (1976).

    Article  ADS  CAS  Google Scholar 

  13. Rivolo, A. R. & Yahil, A. Astrophys. J. 251, 477–484 (1981).

    Article  ADS  Google Scholar 

  14. Lynden-Bell, D. Mon. Not. R. astr. Soc. 136, 101–121 (1967).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rivolo, A. Liouville's theorem and the velocity field of galaxies. Nature 317, 788–789 (1985). https://doi.org/10.1038/317788a0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/317788a0

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing