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Gravitational fields, spinor fields, and groups of motions

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Abstract

The problem of finding the most general spinor field possessing the same symmetry as a given gravitational field is solved for every group of motions. Its connection with the resolution of Einstein-Dirac equations is briefly pointed out.

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References

  1. Petrov, A. Z. (1969).Einstein Spaces, Chap. 5, first English edition (Pergamon Press, Oxford).

    Google Scholar 

  2. Lichnerowicz, A. (1963).C. R. Acad. Sci Paris, groupe 1,251, 7; Kosmann, Y. (1972).Ann. Mat. Pur. Appl.,XCI, 319; see also: Spindel, P., Schomblond, C., and Henneaux, M., (1977).Bull. Cl. Sci. Acad. R. Belg.,LXIII, 179; and Henneaux, M. (1978).Gen. Rel. Grav.,9, 1031.

    Google Scholar 

  3. Cartan, E. (1946).Leçons sur la géométrie des espaces de Riemann, Chapitre XII, pp. 251, 258, Second edition (Gauthier-Villars, Paris).

    Google Scholar 

  4. Isham, C. J., and Nelson, J. E. (1974).Phys. Rev. D,10, 3226.

    Google Scholar 

  5. Brill, D. R., and Cohen, J. M. (1966).J. Math. Phys.,7, 238.

    Google Scholar 

  6. Kuchovicz, B. (1974).Gen. Rel. Grav.,5, 201, and references therein.

    Google Scholar 

  7. Belinsky, V. A., and Khalatnikov, I. M. (1976). “On the influence of the spinor and electromagnetic fields on the cosmological singularity character,” Landau Institute preprint.

  8. Golubyatnikov, A. N. (1970).Sov. Phys. Dokl.,15, 451.

    Google Scholar 

  9. Madore, J. (1972).Lett. Nuovo Cimento.,5, 48.

    Google Scholar 

  10. Herrera, L., and Jimenez, J. (1979).J. Math. Phys.,20, 195.

    Google Scholar 

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Authors and Affiliations

  1. Joseph Henry Laboratories, Princeton University, 08540, Princeton, New Jersey

    Marc Henneaux

  2. Service de Physique théorique et mathématique, Université Libre de Bruxelles, Campus Plaine, Boulevard du Triomphe, C.P. 228, 1050, Bruxelles, Belgium

    Marc Henneaux

Authors
  1. Marc Henneaux
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Aspirant du Fonds National Belge de la Recherche Scientifique.

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Henneaux, M. Gravitational fields, spinor fields, and groups of motions. Gen Relat Gravit 12, 137–147 (1980). https://doi.org/10.1007/BF00756468

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  • DOI: https://doi.org/10.1007/BF00756468

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