Abstract
A class of regular, asymptotically flat solutions to the five-dimensional vacuum Einstein equations with a two-parameter Abelian isometry group is constructed, under the additional assumption of axial symmetry in three-dimensional space. The possibility of interpreting these multiwormhole solutions as multiparticle systems is discussed.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Dobiasch, P., and Maison, D. (1982).Gen. Rel. Grav.,14, 231.
Chodos, A., and Detweiler, S. (1982).Gen. Rel. Grav.,14, 879.
Clément, G. (1983).Gen. Rel. Grav.,16, 131.
Clément, G. (1983). University of Constantine preprint, IPUC 83-2.
Kramer, D., Stephani, H., MacCallum, M., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations (VEB Deutscher Verlag der Wissenschaften, Berlin).
Lichnerowicz, A. (1955).Theories Relativisies de la Gravitation et de l'Electromagnetisme (Masson, Paris).
Lavrentiev, M., and Chabat, B. (1972).Méthodes de la Théorie des Fonctions d'une Variable Complexe (Editions Mir, Moscow).
Finkelstein, D., and Misner, C. W. (1959).Ann. Phys. (N.Y.),6, 230.
Williams, J. G., and Zia, R. K. P. (1973).J. Phys.,A6, 1.
Kiskis, J. (1978).Phys. Rev. D,17, 3196.
Clément, G. (1981).Gen. Rel. Grav.,13, 747.
Clément, G. (1983).Int. J. Theor. Phys., to be published.
Clément, G. (1984).Gen. Rel. Grav.,16, 489.
Witten, E. (1977).Phys. Rev. Lett.,38, 121.
Eguchi, T. Gilkey, P. B., and Hanson, A. J. (1980).Phys. Rep.,66, 213.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Clément, G. Axisymmetric regular multiwormhole solutions in five-dimensional general relativity. Gen Relat Gravit 16, 477–489 (1984). https://doi.org/10.1007/BF00762340
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00762340