Skip to main content
SpringerLink
Log in

Exact solutions in cosmological inflationary models

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

Abstract

The exact solutions of the Einstein equations that correspond to a given evolution of the scale factor in the inflationary stage in the development of the universe are considered within the framework of the theory of a self-acting scalar field that interacts minimally with a gravitational field. The form of the potential that ensures a given rate of expansion and the solution for the scalar field are calculated for each type of inflation considered. Some general laws of the relation between the form of potential and the scale factor evolution are analyzed.

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. V. A. Belinskii and V. E. Zakharov, Zh. Éksp. Teor. Fiz.,75, No. 6, 1953 (1978).

    MathSciNet  ADS  Google Scholar 

  2. V. A. Belinskii, Zh. Éksp. Teor. Fiz.,77, No. 4, 1239 (1979).

    ADS  Google Scholar 

  3. V. G. Bagrov and V. V. Obukhov, Teor. Mat. Fiz.,97, No. 2, 250 (1993).

    MATH  MathSciNet  Google Scholar 

  4. V. G. Bagrov and V. V. Obukhov, Int. J. Mod. Phys.,D3, No. 4, 739 (1994).

    MathSciNet  ADS  Google Scholar 

  5. A. D. Linde, Elementary Particle Physics and Inflation Cosmology [in Russian], Nauka, Moscow (1990).

    Google Scholar 

  6. R. H. Brandenberger, in: Physics of the Early Universe, J. A. Peacock, A. F. Heavens, and A. T. Davies (eds.), Proceedings of the 36th Scottish Universities Summer School in Physics, Publ. by the Scottish Universities Summer School in Physics (1989), p. 281.

  7. J. E. Lidsey, Class. Quantum Grav.,9, 1239 (1992).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. J. E. Lidsey, Preprint FERMILAB-PUB-93/099A, May (1993).

  9. J. D. Barrow, Phys. Lett.,B187, 12 (1987).

    Article  MathSciNet  Google Scholar 

  10. A. Burd and J. D. Barrow, Nucl. Phys.,B308, 929 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  11. J. D. Barrow and P. Saich, Class. Quantum Grav.,10, 279 (1993).

    Article  MathSciNet  ADS  Google Scholar 

  12. S. V. Chervon, Grav. Cosm.,1, No. 2, 1 (1995).

    MATH  Google Scholar 

  13. S. V. Chervon, Izv. Vyssh. Uchebn. Fiz., No. 5, 114 (1995).

    MATH  Google Scholar 

  14. J. P. Mucket and S. Gottlober, Proceedings of the Sixth APRMA, August 16–20, 1993, IUCCA, Puna, India, J. Astrophys. Astron. Suppl.,16 (1995).

  15. P. Peter, D. Polarski, and A. A. Starobinsky, Preprint YITP/V-94-6, DAMTP-R-94/20, astro-ph/940 3037, April (1994).

Download references

Authors
  1. S. V. Chervon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. M. Zhuravlev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow State University Branch in Ul'yanovsk. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 83–88, August, 1996.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chervon, S.V., Zhuravlev, V.M. Exact solutions in cosmological inflationary models. Russ Phys J 39, 776–780 (1996). https://doi.org/10.1007/BF02437088

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02437088

Keywords

Search

Navigation