Skip to main content
SpringerLink
Log in

Density perturbations in a flat universe

  • Research Articles
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

A well-known solution, for a flat model in general relativity obeying the Robertson-Walker metric, a perfect fluid energy-tensor and a perfect gas law of state, with constant deceleration parameter, is now shown to yield growing scalar density perturbations, provided thatq > 0. This study generalizes Weinberg's results for the radiation phase, and shows that any realistic model of this kind contains gravitational instabilities

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Weinberg, S. (1972).Gravitation and Cosmology, (Wiley, New York), p. 588.

    Google Scholar 

  2. Berman, M. S., and Gomide, F. M. (1988).Gen. Rel. Grav.,20, 191.

    Google Scholar 

  3. Grøn, Ø. (1986).Am. J. Phys.,54, N. 1, 46.

    Google Scholar 

  4. Schwarzschild, B. (1987).Physics Today,40, N. 5, 17.

    Google Scholar 

  5. Barrow, J. D. (1983). InThe Very Early Universe, Gibbons, G. N., Hawking, S. W., and Siklos, S. T. C., eds., (Cambridge University Press, Cambridge).

    Google Scholar 

  6. Peebles, P. J. E. (1980).The Large-scale Structure of the Universe, (Princeton University Press, Princeton.

    Google Scholar 

  7. Kodama, H., and Sasaki, M. (1984).Prog. Theor. Phys. suppl.,78.

  8. Kodama, H. (1984).Prog. Theor. Phys.,71, 946.

    Google Scholar 

Download references

Author information

Author notes

  1. Marcelo Samuel Berman

    Present address: Departamento de Ciencias Exatas, Faculdade de Filosofia, Ciencias e Letras da FURJ, 89200, Joinville, SC, Brazil

Authors and Affiliations

  1. Dept. of Astronomy, University of Florida, 211 SSRB, 32611, Gainesville, FL, USA

    Marcelo Samuel Berman

Authors
  1. Marcelo Samuel Berman
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berman, M.S. Density perturbations in a flat universe. Gen Relat Gravit 22, 389–392 (1990). https://doi.org/10.1007/BF00756147

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00756147

Keywords

Search

Navigation