Skip to main content
Log in

Evolution of Friedmann universe in the relativistic theory of gravitation based on spaces of constant curvature

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

A study is made of the evolution of a homogeneous and isotropic universe (Friedmann universe) in the framework of the relativistic theory of gravitation based on a space of arbitrary constant curvature. Six types of possible background space are considered. For four of them, a detailed investigation of the asymptotic solutions of the evolution equations is made. The cosmological scenarios corresponding to different choices of the background space are described.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. A. Logunov and M. A. Mestvirishvili,The Relativistic Theory of Gravitation [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  2. A. A. Logunov, M. A. Mestvirishvili, and Yu. V. Chugreev,The Relativistic Theory of Gravitation Based on Spaces of Constant Curvature [in Russian], Izd. Mosk. Univ., Moscow (1990);Teor. Mat. Fiz.,86, 163 (1991).

    Google Scholar 

  3. Yu. V. Chugreev,Teor. Mat. Fiz.,88, 459 (1991).

    Google Scholar 

  4. S. Weinberg,Gravitation and Cosmology, Wiley, New York (1972).

    Google Scholar 

  5. N. Rosen,Gen. Rel. Grav.,12, 493 (1980).

    Google Scholar 

  6. M. A. Mestvirishvili and Yu. V. Chugreev,Teor. Mat. Fiz.,80, 305 (1989); Yu. V. Chugreev,Teor. Mat. Fiz.,79, 307 (1989).

    Google Scholar 

  7. A. A. Logunov,Lectures on the Theory of Relativity and Gravitation. A Modern Analysis of the Problem [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  8. M. J. Rees, R. Ruffini, and J. A. Wheeler,Black Holes, Gravitational Waves and Cosmology, New York (1974).

Download references

Authors

Additional information

State University, Moscow. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 97, No. 3, pp. 459–479, December, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Emel'yanov, E.Y., Chugreev, Y.V. Evolution of Friedmann universe in the relativistic theory of gravitation based on spaces of constant curvature. Theor Math Phys 97, 1409–1420 (1993). https://doi.org/10.1007/BF01015772

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01015772

Keywords

Navigation