Stationary spherically-symmetric distributions of a self-gravitating nonlinear spinor field with nonlinearity of the type \( {\left(\overline{\Psi}\Psi \right)}^n \) are considered within the framework of Einstein’s theory of gravitation. Possible astrophysical effects of such material distributions are investigated; in particular, it is shown that for n = 2 a nonlinear spinor field of Ivanenko–Heisenberg type corresponds to the possible formation of wormholes with a flat asymptotic.
Similar content being viewed by others
References
V. G. Krechet, Russ. Phys. J., 48, No. 3, 219–223 (2005).
V. G. Krechet and D. V. Sadovnikov, Grav. & Cosmol., 52, No. 4, 52–56 (2007).
S. Weinberg, Phys. Rev. Lett., 10, 1264 (1967).
K. A. Bronnikov and J. P. S. Lenos, Phys. Rev., D79, 104019 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 10–17, July, 2014.
Rights and permissions
About this article
Cite this article
Krechet, V.G., Sinil’shchikova, I.V. Self-Gravitating Nonlinear Spinor Field in Stationary Spaces with Spherical Symmetry. Russ Phys J 57, 870–879 (2014). https://doi.org/10.1007/s11182-014-0319-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-014-0319-2