Skip to main content
Log in

Stability of a Static Spherically Symmetric Wormholes in the Framework of 5-Dimensional Projective Unified Field Theory (PUFT)

  • Published:
Astronomy Reports Aims and scope Submit manuscript

Abstract

We have obtained static spherically symmetric solution within the framework of PUFT which corresponds to wormholes at a certain ratio of parameters. We investigate the obtained solution for stability. It is found that there is an exponentially in time growing mode for all parameter values, which leads to the instability of the wormhole.

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.

Fig. 1.
Fig. 2.

Similar content being viewed by others

REFERENCES

  1. L. Flamm, Phys. Z. 17, 448 (1916).

    Google Scholar 

  2. A. Einstein and N. Rosen, Phys. Rev. 48, 73 (1935).

    Article  ADS  Google Scholar 

  3. T. Kaluza, Sitzungsber. König. Preus. Akad. Wissensch., 966 (1921).

  4. O. Klein, Zeitschr. Phys. 37, 895 (1926).

    Article  ADS  Google Scholar 

  5. P. Jordan, Schwerkraft und Weltall (Vieweg, Braunschweig, 1955).

    MATH  Google Scholar 

  6. H. G. Ellis, J. Math. Phys. 14, 104 (1973).

    Article  ADS  Google Scholar 

  7. E. Schmutzer, Relativistische Physik: Klassiche Theorie (Teubner, Leipzig, 1968).

    MATH  Google Scholar 

  8. E. Schmutzer, Projektive Einheitliche Feldtheorie mit Anwendungen in Kosmologie und Astrophysik. Neues Weltbild ohne Urknall? (Harri Deutsch, Berlin, 2004).

    MATH  Google Scholar 

  9. A. K. Gorbatsievich, Gen. Relat. Grav. 33, 965 (2001); gr-qc/0003053.

  10. S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford Univ. Press, New York, 1983).

    MATH  Google Scholar 

  11. A. Gorbatsievich, in The Gravitational Constant: Generalized Gravitational Theories and Experiments, Conference Proceedings, Ed. by V. de Sabbata, G. T. Gillies, and V. N. Melnikov, Vol. 141 of NATO Sci. Ser. (Springer, 2004), p. 193.

  12. A. K. Gorbatsievich and F. Desokey, Nonlin. Phenom. Complex Syst. 8, 35 (2005).

    Google Scholar 

  13. J. A. González, F. S. Guzmán, and O. Sarbach, Class. Quantum Grav. 26, 015010 (2009); arXiv: 0806.0608.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. O. Shaplov.

Additional information

Paper presented at the Fourth Zeldovich meeting, an international conference in honor of Ya.B. Zeldovich held in Minsk, Belarus, on September 7–11, 2020. Published by the recommendation of the special editors: S.Ya. Kilin, R. Ruffini, and G.V. Vereshchagin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shaplov, A.O. Stability of a Static Spherically Symmetric Wormholes in the Framework of 5-Dimensional Projective Unified Field Theory (PUFT). Astron. Rep. 65, 1042–1047 (2021). https://doi.org/10.1134/S1063772921100346

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063772921100346

Navigation