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Generalized theory of gravitation

  • Part III. Invited Papers Dedicated To Nathan Rosen
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Abstract

The mathematical formulation of the nonsymmetric gravitation theory (NGT) as a geometrical structure is developed in a higher-dimensional space. The reduction of the geometrical scheme to a dynamical theory of gravitation in four-dimensional space-time is investigated and the basic physical laws of the theory are reviewed in detail.

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References

  1. P. van Nieuwenhuisen,Phys. Rep. 68, 189 (1981).

    Google Scholar 

  2. Th. Kaluza,Sitzungsber. Preuss. Akad. Wiss. Berlin Math. Phys. Kl. 966 (1931); O. Klein,Z. Phys. 37, 895 (1926); Y. M. Cho.J. Math. Phys. 16, 2029 (1979); E. Witten,Nucl. Phys. B186, 412 (1981); J. W. Moffat,Acta Phys. Austria. Suppl. 23, 665 (1981); J. W. Moffat,Ann. Inst. Henri Poincaré,34, 85 (1981); M. W. Kalinowski,J. Math. Phys. 24, 1835 (1983); G. Kunstatter,J. Math. Phys. 25, 2691 (1984); J. W. Moffat,J. Math. Phys. (in press).

  3. J. W. Moffat,Phys. Rev. D19, 3554 (1979).

    Google Scholar 

  4. J. W. Moffat,J. Math. Phys. 21, 1798 (1980).

    Google Scholar 

  5. J. C. McDow and J. W. Moffat,J. Math. Phys. 23, 634 (1982).

    Google Scholar 

  6. R. B. Mann and J. W. Moffat.J. Phys. A14, 2367 (1981);15, 1055(E) (1982).

    Google Scholar 

  7. J. W. Moffat,Can. J. Phys. 59, 283, 1289(E) (1981).

    Google Scholar 

  8. R. B. Mann and J. W. Moffat,Can. J. Phys. 59, 1723 (1981);61, 656 (E) (1983).

    Google Scholar 

  9. R. B. Mann and J. W. Moffat,Can. J. Phys. 59, 1592 (1981).

    Google Scholar 

  10. R. B. Mann and J. W. Moffat,Phys. Rev. D26, 1858 (1982).

    Google Scholar 

  11. J. W. Moffat,Phys. Rev. Lett. 50, 709 (1983); J. W. Moffat,Proc. Sir Arthur Eddington Symp., World Scientific (in press).

    Google Scholar 

  12. J. W. Moffat,Ap. J. Lett. (in press).

  13. E. F. Guinan and F. P. Maloney, Villanova University Preprint (1984).

  14. J. W. Moffat and D. Vincent,Can. J. Phys. 60, 659 (1982); J. W. Moffat and D. Vincent,Cam. J. Phys. (in press).

    Google Scholar 

  15. L. Campbell and J. W. Moffat, University of Toronto Preprint (1983).

  16. G. Kunstatter, J. W. Moffat, and J. Malzan,J. Math. Phys. 24, 886 (1983).

    Google Scholar 

  17. J. W. Moffat,J. Math. Phys. 25, 347 (1984); Errrata (in press).

    Google Scholar 

  18. R. B. Mann,Nucl. Phys. B231, 481 (1984); R. B. Mann,Class. Quant. Grav. (in press).

    Google Scholar 

  19. See, for example, E. Cartan,Leçons sur la théorie des spineurs (Hermann, Paris, 1938), Vols. I and II.

    Google Scholar 

  20. R. B. Mann and J. W. Moffat, University of Toronto Preprint (1984).

  21. G. Kunstatter and R. Yates,J. Phys. A14, 847 (1981).

    Google Scholar 

  22. I. L. Kantor and A. S. Solodovnikov,Hypercomplex Numbers (Nauka, Moscow, 1973) (Russian).

    Google Scholar 

  23. B. A. Rosenfeld,Noneuclidean Geometries (Gostekisdat, Moscow, 1955) (Russian).

    Google Scholar 

  24. S. Kobayashi and K. Nomizu,Foundations of Differential Geometry (Wiley, New York, 1964), Vols. I and II.

    Google Scholar 

  25. M. Born,Proc. Roy. Soc. London A165, 291 (1938);Rev. Mod. Phys. 21, 463 (1949).

    Google Scholar 

  26. E. Prugovečki,Stochastic Quantum Mechanics and Quantum Spacetime (D. Reidel, Dordrecht, 1984).

    Google Scholar 

  27. E. R. Caianiello,Nuovo Cimento 59B, 350 (1980).

    Google Scholar 

  28. E. R. Caianiello, S. De Filippo, and G. Vilasi,Nuovo Ciment. Lett. 33, 555 (1982).

    Google Scholar 

  29. A. Einstein and E. G. Straus,Ann. Math. 47, 731 (1946).

    Google Scholar 

  30. A. Einstein,The Meaning of Relativity (Princeton University Press, Princeton, N.J., 1953), pp. 133–165.

    Google Scholar 

  31. A. Einstein,Can. J. Math. 2, 120 (1950).

    Google Scholar 

  32. G. Kunstatter and J. W. Moffat,Phys. Rev. D19, 1084 (1979).

    Google Scholar 

  33. E. Schrödinger,Space-Time Structure (Cambridge University Press, Cambridge, 1954), p. 108.

    Google Scholar 

  34. D. Vincent,Class. Quant. Grav. (in press).

  35. E. Newman and R. Penrose,J. Math. Phys. 3, 566 (1962).

    Google Scholar 

  36. M. Kalb and P. Ramond,Phys. Rev. D 9, 2274 (1974); E. Cremmer and J. Scherk,Nucl. Phys. B72, 117 (1974).

    Google Scholar 

  37. T. Kiniura,Progr. Theor. Phys. 64, 351 (1980).

    Google Scholar 

  38. B. Lautrup.Mat. Fys. Medd. Dan. Vid. Selsk. 35, 1 (1967).

    Google Scholar 

  39. N. Nakanishi,Progr. Theor. Phys. 35, 1111 (1966);38, 881 (1967).

    Google Scholar 

  40. G. Kunstatter, H. P. Leivo, and P. Savaria,Class. Quant. Grav. 1, 7 (1984).

    Google Scholar 

  41. P. A. M. Dirac,Lectures on Quantum Mechanics, (Yeshiva University Press, New York, 1964).

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Toronto, M5S 1A7, Toronto, Ontario, Canada

    John W. Moffat

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Moffat, J.W. Generalized theory of gravitation. Found Phys 14, 1217–1252 (1984). https://doi.org/10.1007/BF01889321

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  • DOI: https://doi.org/10.1007/BF01889321

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