Skip to main content
SpringerLink
Log in

Inflation in cosmological models with a non-minimally coupled, massless scalar field

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

Abstract

A homogeneous, spatially flat cosmological model induced by a massless scalar field is investigated. The parameter ξ of coupling of the field with the curvature can take any value. It is shown that the range of values of ξ is divided into three regions, ξ<0, 0<ξ<1/6, and ξ>1/6, each of which is characterized by the behavior of the scale factor in it. The points ξ=0 and ξ=1/6 are singular. Stages with exponential and power-law inflation are found in the ranges 0<ξ<1/6 and ξ>1/6. An exponential inflationary stage with acceptable cosmological consequences can occur for small positive ξ.

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. N. D. Birrell and P. C. Davies, Quantum Fields in Curved Space, Cambridge Univ. Press, Cambridge (1984).

    MATH  Google Scholar 

  2. A. D. Linde, Particle Physics and Inflationary Cosmology, H. Feshbach (ed.), Harwood Academic, New York (1990).

    Google Scholar 

  3. V. A. Belinskii, L. P. Grishchuk, Ya. B. Zel’dovich, and I. M. Khalatnikov, Zh. Éksp. Teor. Fiz.,89, 346 (1985).

    MathSciNet  ADS  Google Scholar 

  4. V. A. Belinskii and I. M. Khalatnikov, Zh. Éksp. Teor. Fiz.,93, 784 (1987).

    MathSciNet  ADS  Google Scholar 

  5. S. L. Parnovskii, Zh. Éksp. Teor. Fiz.,103, 337 (1993).

    Google Scholar 

  6. I. L. Buchbinder, Fortschr. Phys.,34, 605 (1986).

    MathSciNet  Google Scholar 

  7. I. L. Buchbinder, S. D. Odintsov, and O. A. Fonarev, Mod. Phys. Lett.,4A, 2713 (1989); Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9, 74 (1990).

    ADS  Google Scholar 

  8. E. I. Permyakov, Astron. Zh.,70, 913 (1993).

    MATH  ADS  Google Scholar 

  9. L. D. Landau and E. M. Lifshitz, Field Theory [in Russian], Nauka, Moscow (1973) [The Classical Theory of Fields, 4th ed., Pergamon Press, New York (1976)].

    MATH  Google Scholar 

Download references

Authors
  1. E. I. Permyakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Kazan’ State Pedagogical University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 53–57, March, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Permyakov, E.I. Inflation in cosmological models with a non-minimally coupled, massless scalar field. Russ Phys J 40, 265–269 (1997). https://doi.org/10.1007/BF02510827

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02510827

Keywords

Search

Navigation