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Axisymmetric regular multiwormhole solutions in five-dimensional general relativity

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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.

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References

  1. Dobiasch, P., and Maison, D. (1982).Gen. Rel. Grav.,14, 231.

    Google Scholar 

  2. Chodos, A., and Detweiler, S. (1982).Gen. Rel. Grav.,14, 879.

    Google Scholar 

  3. Clément, G. (1983).Gen. Rel. Grav.,16, 131.

    Google Scholar 

  4. Clément, G. (1983). University of Constantine preprint, IPUC 83-2.

  5. Kramer, D., Stephani, H., MacCallum, M., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations (VEB Deutscher Verlag der Wissenschaften, Berlin).

    Google Scholar 

  6. Lichnerowicz, A. (1955).Theories Relativisies de la Gravitation et de l'Electromagnetisme (Masson, Paris).

    Google Scholar 

  7. Lavrentiev, M., and Chabat, B. (1972).Méthodes de la Théorie des Fonctions d'une Variable Complexe (Editions Mir, Moscow).

    Google Scholar 

  8. Finkelstein, D., and Misner, C. W. (1959).Ann. Phys. (N.Y.),6, 230.

    Google Scholar 

  9. Williams, J. G., and Zia, R. K. P. (1973).J. Phys.,A6, 1.

    Google Scholar 

  10. Kiskis, J. (1978).Phys. Rev. D,17, 3196.

    Google Scholar 

  11. Clément, G. (1981).Gen. Rel. Grav.,13, 747.

    Google Scholar 

  12. Clément, G. (1983).Int. J. Theor. Phys., to be published.

  13. Clément, G. (1984).Gen. Rel. Grav.,16, 489.

    Google Scholar 

  14. Witten, E. (1977).Phys. Rev. Lett.,38, 121.

    Google Scholar 

  15. Eguchi, T. Gilkey, P. B., and Hanson, A. J. (1980).Phys. Rep.,66, 213.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Département de Physique Théorique, Université de Constantine, Constantine, Algérie

    Gérard Clément

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  1. Gérard Clément
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Clément, G. Axisymmetric regular multiwormhole solutions in five-dimensional general relativity. Gen Relat Gravit 16, 477–489 (1984). https://doi.org/10.1007/BF00762340

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  • DOI: https://doi.org/10.1007/BF00762340

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