Skip to main content
SpringerLink
Log in

Models of an open universe with a variable equation of state near a singularity

  • Physics Of Elementary Particles And Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

A new approach is discussed for reducing the problem of integration of the Einstein equations for a conformally flat model of an open universe to integration of Newton's equation for the one-dimensional motion of a plate of unit mass in a certain potential field. Exact solutions are obtained with an equation of state that depends on the point in the space—time continuum. Finite values of the metric, pressure, and energy density are obtained at the initial world point for a definite choice of potential in Newton's equation. It is shown that a smooth transition to the stage of the evolution of the universe is possible with the appropriate choice of potential and parameters.

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. A. D. Linde, in: Physics of Elementary Particles in an Inflationary Universe Cosmology [in Russian], Nauka, Moscow (1990), pp. 9–61.

    Google Scholar 

  2. A. M. Baranov and E. V. Savel'ev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 1, 89–94 (1994).

  3. V. A. Fock, The Theory of Space, Time, and Gravitation, Pergamon Press, New York (1959).

    Google Scholar 

  4. Ya. B. Zel'dovich, Selected Works: Particles, Nuclei, and the Universe [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  5. A. M. Baranov and E. V. Savel'ev, Manuscript deposited at the All-Union Institute of Scientific and Technical Information [in Russian], VINITII Deposit No. 5914-V88 (July 25, 1988).

  6. M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions, U. S. Govt. Printing Office, Washington, DC (1964).

    Google Scholar 

  7. A. M. Baranov and E. V. Savel'ev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 7, 32–35 (1984).

Download references

Authors
  1. A. M. Baranov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. V. Savel'ev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work has been carried out under the auspices of the Astronomiya Joint Scientific-Technical Program.

State University, Krasnoyarsk. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 51–55, July, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baranov, A.M., Savel'ev, E.V. Models of an open universe with a variable equation of state near a singularity. Russ Phys J 37, 640–644 (1994). https://doi.org/10.1007/BF00559196

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00559196

Keywords

Search

Navigation