Skip to main content
SpringerLink
Log in

Quintessence scalar field in the relativistic theory of gravity

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

Abstract

We propose a variant of the quintessence theory in order to obtain an accelerated expansion of the Friedmann universe in the framework of the relativistic theory of gravity. The scalar field of dark energy creates the substance of quintessence. We show that the function V(Φ) that factors the Lagrangian of the scalar field Φ does not influence the evolution of the universe. We find some relations that allow finding the explicit time-dependence of Φ if only the function V(Φ) is chosen.

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. A. G. Ries et al., Astron. J. Suppl. Ser., 116, 1009–1038 (1988); S. Perlmutter et al., Nature, 391, 51–54 (1988); S. Perlmutter et al., Astrophys. J, 517, 565–586 (1999); C. L. Bennett et al., Astrophys. J, 64, L1–L4 (1996); S. Hanany et al., Astrophys. J, 545, L5–L9 (2000); P. Bernardis et al., Nature, 404, 955–959 (2000); A. Benoit et al., Astron. Astrophys., 399, L19–L23, L25–L30 (2003); C. L. Bennet et al., Astrophys. J. Suppl. Ser., 148, 1–27 (2003); D. N. Spergel et al., Astrophys. J. Suppl. Ser., 148, 175–194 (2003); W. J. Percival et al., Mon. Not. R. Astron. Soc., 327, 1297–1306 (2001); L. Verde et al., Mon. Not. R. Astron. Soc., 335, 432–440 (2002); L. Verde et al., Astrophys. J. Suppl. Ser., 148, 195–212 (2003); D. G. York et al., Astron. J, 120, 1579–1587 (2000); C. Stroughton et al., Astron. J, 123, 485–548 (2002); K. Abazajian et al., Astron. J, 126, 2081–2086 (2000).

    ADS  Google Scholar 

  2. A. A. Logunov, Theory of the Gravitational Field [in Russian], Nauka, Moscow (2000).

    Google Scholar 

  3. V. L. Kalashnikov, “X-matter induced cosmological scenarios in the relativistic theory of gravity,” arXiv:gr-qc/0109060v2 (2001); “Constraints on the cosmological parameters in the relativistic theory of gravitation,” arXiv:gr-qc/0202084v1 (2002).

  4. S. S. Gershtein, A. A. Logunov, M. A. Mestvirishvili, and N. P. Tkachenko, Phys. Part. Nucl., 36, 1003–1050 (2005).

    Google Scholar 

  5. L. P. Chimento and A. Feinstein, Modern Phys. Lett. A, 19, 761–768 (2004); R. J. Scherrer, Phys. Rev. Lett, 93, 011301 (2004); R. Das, T. W. Kephart, and R. J. Scherrer, “Tracking quintessence and k-essence in a general cosmological background,” arXiv:gr-qc/0609014v1 (2006).

    Article  ADS  Google Scholar 

  6. M. Tegmark et al., Phys. Rev. D, 69, 103501 (2004).

Download references

Author information

Authors and Affiliations

  1. Institute for High Energy Physics, Protvino, Moscow Oblast, Russia

    M. A. Mestvirishvili

  2. Moscow State University, Moscow, Russia

    K. A. Modestov & Yu. V. Chugreev

Authors
  1. M. A. Mestvirishvili
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. A. Modestov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. V. Chugreev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to K. A. Modestov.

Additional information

__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 3, pp. 551–560, September, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mestvirishvili, M.A., Modestov, K.A. & Chugreev, Y.V. Quintessence scalar field in the relativistic theory of gravity. Theor Math Phys 152, 1342–1350 (2007). https://doi.org/10.1007/s11232-007-0118-9

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-007-0118-9

Keywords

Search

Navigation