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Universal Spin Structure

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Abstract

Any Dirac spin structure on a world manifold xis a subbundle of the composite spinor bundle \(S \to \sum _T \to X\), where\(\sum _T \to X\) is a bundle oftetrad gravitational fields. The bundle S admits generalcovariant transformations that enable us to discover theenergy-momentum conservation law in gauge gravitationtheory.

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REFERENCES

  • Aringazin, A., and Mikhailov A. (1991). Classical and Quantum Gravity, 8, 1685.

    Google Scholar 

  • Avis, S., and Islam, C. (1980). Communication in Mathematical Physics, 72, 103.

    Google Scholar 

  • Benn, I., and Tucker, R. (1987). An Introduction to Spinors and Geometry with Application in Physics, Adam Hilger, Bristol.

    Google Scholar 

  • Benn, I., and Tucker, R. (1988). In Spinors in Physics and Geometry, A. Trautman and G. Furlan, eds., World Scientific, Singapore.

    Google Scholar 

  • Borowiec, A., Ferraris, M., Francaviglia, M., and Volovich, I. (1994). General Relativity and Gravitation, 26, 637.

    Google Scholar 

  • Crawford, J. (1991). Journal of Mathematical Physics, 32, 576.

    Google Scholar 

  • Dabrowski, L., and Percacci R. (1986). Communications in Mathematical Physics, 106, 691.

    Google Scholar 

  • Fatibene, F., Ferraris, M., Francaviglia, M., and Godina, M. (1996). In Differential Geometry and Its Applications (Proceedings of the 6th International Conference, Brno, August 28–September 1, 1995), J. Janyska, I. Kolář,. and J. Slovăk, eds., Masaryk University Press, Brno, Czech Republic, p. 549.

    Google Scholar 

  • Fulp, R., Lawson, J., and Norris, L. (1994). International Journal of Theoretical Physics, 33, 1011.

    Google Scholar 

  • Geroch, R. (1968). Journal of Mathematical Physics, 9, 1739.

    Google Scholar 

  • Giachetta, G., and Mangiarotti, L. (1997), International Journal of Theoretical Physics, 36, 125.

    Google Scholar 

  • Giachetta, G., and Sardanashvily, G. (1996). Classical and Quantum Gravity, 13, L67.

    Google Scholar 

  • Giachetta, G., Mangiarotti, L., and Sardanashvily, G. (1997). New Lagrangian and Hamiltonian Methods in Field Theory, World Scientific, Singapore.

    Google Scholar 

  • Gordejuela, F., and Masqué, J. (1995). Journal of Physics A, 28, 497.

    Google Scholar 

  • Greub, W., and Petry, H.-R. (1978). In Differential Geometric Methods in Mathematical Physics II, Springer-Verlag, Berlin, p. 217.

    Google Scholar 

  • Hehl, F., McCrea, J., Mielke, E., and Ne'eman, Y. (1995). Physics Reports, 258, 1.

    Google Scholar 

  • Kobayashi, S. (1972). Transformation Groups in Differential Geometry, Springer-Verlag, Berlin.

    Google Scholar 

  • Kobayashi, S., and Nomizu, K. (1963). Foundations of Differential Geometry, Vol. 1, Wiley, New York.

    Google Scholar 

  • Kosmann, Y. (1972). Annali di Matematica Pura et Applicata, 91, 317.

    Google Scholar 

  • Lawson, H., and Michelson, M.-L. (1989). Spin Geometry, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  • Novotný, J. (1984). In Geometrical Methods in Physics. Proceeding of the Conference on Differential Geometry and Its Applications (Czechoslovakia 1983), D. Krupka, ed., University of J. E. Purkyně, Brno, Czech Republic, p. 207.

    Google Scholar 

  • Obukhov, Yu., and Solodukhin, S. (1994). International Journal of Theoretical Physics, 33, 225.

    Google Scholar 

  • Percacci, R. (1986). Geometry on Nonlinear Field Theories, World Scientific, Singapore.

    Google Scholar 

  • Ponomarev, V., and Obukhov, Yu. (1982). General Relativity and Gravitation, 14, 309.

    Google Scholar 

  • Rodrigues W., and De Souza, Q. (1993). Foundation of Physics, 23, 1465.

    Google Scholar 

  • Rodrigues, W., and Vaz, J. (1996). In Gravity, Particles and Space-Time, P. Pronin and G. Sardanashvily, eds., World Scientific, Singapore, p. 307.

    Google Scholar 

  • Sardanashvily, G. (1991). International Journal of Theoretical Physics, 30, 721.

    Google Scholar 

  • Sardanashvily, G. (1992). Journal of Mathematical Physics, 33, 1546.

    Google Scholar 

  • Sardanashvily, G. (1993). Gauge Theory in Jet Manifolds, Hadronic Press, Palm Harbor.

    Google Scholar 

  • Sardanashvily, G. (1995). Generalized Hamiltonian Formalism for Field Theory. Constraint Systems, World Scientific, Singapore.

    Google Scholar 

  • Sardanashvily, G. (1997). Classical and Quantum Gravity, 14, 1371.

    Google Scholar 

  • Sardanashvily, G., and Zakharov, O. (1992). Gauge Gravitation Theory, World Scientific, Singapore.

    Google Scholar 

  • Steenrod, N. (1972). The Topology of Fibre Bundles, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  • Switt, S. (1993). Journal of Mathematical Physics, 34, 3825.

    Google Scholar 

  • Tucker, R., and Wang, C. (1995). Classical and Quantum Gravity, 12, 2587.

    Google Scholar 

  • Van der Heuvel, B. (1994). Journal of Mathematical Physics, 35, 1668.

    Google Scholar 

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Authors
  1. G. Sardanashvily
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Sardanashvily, G. Universal Spin Structure. International Journal of Theoretical Physics 37, 1265–1287 (1998). https://doi.org/10.1023/A:1026627905131

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