Abstract
In this study we propose a method for obtaining a closed solution of the Einstein-Maxwell equations in the case that arbitrary stationary solitons are generated on the arbitrary static background. In particular, we demonstrate that the already existing single-sheet solutions only form a subclass of the manifold of all the solutions, which in general are multisheet-like and have a nontrivial topology.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
N. R. Sibgatullin, Dokl. Akad. Nauk SSSR,278, No. 3, (1983).
N. R. Sibgatullin, Vibrations and Waves in Strong Gravitational and Electromagnetic fields [in Russian], Nauka, Moscow (1984).
G. A. Alekseev, Pis'ma Zh. Ekspv Teor. Fiz.,32, 4 (1980).
V. A. Belinskii and V. E. Zakharov, Zh. Eksp. Teor. Fiz.,75, No. 5, (1980).
C. Hoenselaers, W. Kinnersley, and V. S. Khanthopoulos, J. Math. Phys.,20, 2530 (1979).
G. Neugebaur and D. Kramer, J. Phys. A,13, 1737 (1980).
W. Kinnersley and D. Chitre, J. Math. Phys.,19, 1926 (1976).
I. Hanser and F. Ernst Phys. Rev., 20D, 1783 (1979).
A. T. Il'ichev, Dokl. Akad. Nauk SSSR 278, No. 1, (1984).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 75–81, September, 1986.
The authors are grateful to M. Zarinov for discussions about some questions in this work.
Rights and permissions
About this article
Cite this article
Il'ichev, A.T., Sibgatullin, N.K. Effective construction of topologically nontrivial solutions in general relativity. Soviet Physics Journal 29, 749–754 (1986). https://doi.org/10.1007/BF00895467
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00895467