Skip to main content
SpringerLink
Log in

On calculation of the cosmological parameters in exact models of inflation

  • Published:
Gravitation and Cosmology Aims and scope Submit manuscript

Abstract

We discuss a method of calculating the key cosmological parameters on the basis of a selected scale factor by using exact solutions of the background equations. We specify the formulas for calculating the power spectrum, the spectral indices and their ratios, and the ratio of squared amplitudes of scalar and tensor perturbations. We obtain, for the first time, expressions for the basic cosmological parameters in terms of the scalar factor value at the instant of crossing the cosmological horizon. In this case, the cosmological parameters are calculated for a wide class of exact models. They are compared with their analogs derived in the slow-rolling approximation.

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.

Similar content being viewed by others

References

  1. A. A. Starobinsky, Phys. Lett. B 918, 24 (1980); A. H. Guth, Phys. Rev. D 23, 347 (1981); A. D. Linde, Phys. Lett. B 108, 389 (1982); A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982).

    Google Scholar 

  2. V. N. Lukash, Uspekhi Fiz. Nauk 176, 113 (2006).

    Article  Google Scholar 

  3. A. R. Liddle and D. H. Lyth, Phys. Rep. 231, 1 (1993).

    Article  ADS  Google Scholar 

  4. S. V. Chervon, Gen. Relat. Grav. 36(7), 1547 (2004).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. A. Riotto, Inflation and the Theory of Cosmological Perturbations, hep-ph/0210162.

  6. S. V. Chervon, M. Novello, and R. Triay, Grav Cosm. 11, 329 (2005).

    MATH  ADS  Google Scholar 

  7. S. V. Chervon, Exact Inflation and the Key Cosmological Parameters, in Proc. of the Russian School and International Conference on Gravitation, Cosmology and Relativistic Astrophysics GRACOS-2007, September 9–16, 2007, TGGPU, Kazan-Yalchik, 2007, pp. 174–178; S. V. Chervon, Exact Inflation and Cosmological Parameters, Issledovano v Rossii (electronic journal), No. 100, pp. 1035–1040 (2007); http://zhurnal.ape.relarn.ru/articles/2007/100.pdf

    Google Scholar 

  8. S. V. Chervon, Nonlinear Fields in the Theory of Gravitation and Cosmology (Middle-Volga Scientific Center,Ulyanovsk State University, 1997).

  9. S. V. Chervon, V. M. Zhuravlev, and V. K. Shchigolev, Phys. Lett. B 398, 269 (1997).

    Article  ADS  MathSciNet  Google Scholar 

  10. G. F. R. Ellis and M. S. Madsen, Glas. Quantum Grav. 8, 667 (1991).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. J. D. Barrow, Phys. Rev. D 49, 3055 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  12. R. Maartens, D. R. Taylor, and N. Roussos, Phys. Rev. D 52, 3358 (1995).

    Article  ADS  Google Scholar 

  13. V. M. Zhuravlev and S. V. Chervon, JETP 118, 259 (2000).

    Google Scholar 

  14. A. H. Guth, Inflation, astro-ph/0404546.

  15. E. D. Stewart, The Spectrum of Density Perturbations Produced during Inflation to Leading Order in a General Slow-Roll Approximation, astroph/0110322.

  16. P. Binetruy and M. K. Gaillard. Phys. Rev. D 34, 3069 (1986).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ulyanovsk State University, Ulyanovsk, Russia

    S. V. Chervon & I. V. Fomin

Authors
  1. S. V. Chervon
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. V. Fomin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. V. Chervon.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chervon, S.V., Fomin, I.V. On calculation of the cosmological parameters in exact models of inflation. Gravit. Cosmol. 14, 163–167 (2008). https://doi.org/10.1134/S0202289308020060

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0202289308020060

Keywords

Search

Navigation