Skip to main content
Log in

Complete Model of Cosmological Evolution of a Classical Scalar Field with the Higgs Potential. I. Analysis of the Model

  • Published:
Russian Physics Journal Aims and scope

A complete model of cosmological evolution of a classical scalar field with the Higgs potential is studied and simulated on a computer without assumption that the Hubble constant is nonnegative. The corresponding dynamical system is qualitatively analyzed and the Einstein–Higgs hypersurfaces the topology of which determines the global properties of the phase trajectories of the cosmological model are classified.

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. Yu. G. Ignat’ev, Space, Time and Fundamental Interactions, No. 2, 36 (2017).

  2. Yu. G. Ignatyev, Russ. Phys. J, 59, No. 12, 2074–2079 (2016).

    Article  Google Scholar 

  3. Yu.G. Ignat’ev аnd I. A. Kokh, Grаvit. Cosmol., 25, 24 (2019).

  4. Yu. I. Ignat’ev аnd I. A. Kokh, Grаvit. Cosmol., 25, 37 (2019).

  5. Yurii Ignat’ev, Alexander Agathonov, and Irina Kokh, аrXiv:1810.09873 [gr-qs] (2018).

  6. Yu. G. Ignat’ev and A. R. Samigullina, Russ. Phys. J., 61, No. 4, 643–647 (2018).

    Article  Google Scholar 

  7. Yu. G. Ignat’ev and I. A. Kokh, Russ. Phys. J., 61, No. 9, 1590–1596 (2018).

    Article  Google Scholar 

  8. Yu. G. Ignatyev and A. R. Samigullina, Russ. Phys. J., 62, No. 4, 618–626 (2019).

    Article  Google Scholar 

  9. Yu. G. Ignat’ev and A. R. Samigullina, Russ. Phys. J., 63, No. 1, 23–33 (2020).

    Article  Google Scholar 

  10. Yu. G. Ignat’ev and D. Yu. Ignatyev, Grаvit. Cosmol., 26, 29 (2020).

    Article  ADS  Google Scholar 

  11. O. I. Bogoyavlenskii, Methods of Qualitative Theory of Dynamic Systems in Astrophysics and Gas Dynamics [in Russian], Nauka, Moscow (1980).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu. G. Ignat’ev.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 136–143, March, 2021.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ignat’ev, Y.G., Samigullina, A.R. Complete Model of Cosmological Evolution of a Classical Scalar Field with the Higgs Potential. I. Analysis of the Model. Russ Phys J 64, 523–533 (2021). https://doi.org/10.1007/s11182-021-02359-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-021-02359-6

Keywords

Navigation