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New Weyl theory: Geometrization of electromagnetism and gravitation: Motivations and classical results

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Abstract

A geometrical unified field theory of electromagnetism and gravitation is developed in a Weyl space-time. The integrability conditions of the field equations cast the laws of classical perfect fluids under electromagnetic interactions. The purely gravitational limit of the theory is Einstein's General Relativity and the purely electromagnetic case coincides with the predictions of Maxwell's theory.

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References

  1. Tonnelat, M. A. (1965).Les Théories Unitaires de l'Electromagnétisme et la Gravitation (Gauthiers-Villars, Paris).

    Google Scholar 

  2. Weyl, H. (1919).Ann. Phys., IV,59, 10, 101–133.

    Google Scholar 

  3. Weyl, H. (1950).Space, Time, Matter (Dover Books, New York).

    Google Scholar 

  4. Einstein, A. (1918).Sitz. Pr. Akad. Wiss., 478.

  5. Einstein, A. (1920),Z. Phys.,21, 651.

    Google Scholar 

  6. Pauli, W. (1958).Theory of Relativity, (Pergamon Press, New York), p. 195–196.

    Google Scholar 

  7. Eddington, A. S. (1963).The Mathematical Theory of Relativity (Cambridge University Press, Cambridge), p. 196–198 and p. 208–209.

    Google Scholar 

  8. Dirac, P. A. M. (1973).Proc. Roy. Soc. (London),A333, p. 403–418.

    Google Scholar 

  9. Papini, G. (1985).Phys. Lett.,A107, p. 26–28.

    Google Scholar 

  10. Bergmann, P. G. (1964).Introduction to the Theory of Relativity (Prentice Hall, New Jersey), p. 252–253.

    Google Scholar 

  11. Bressan, O. J. (1986).Gen. Rel. Grav.,18, 375.

    Google Scholar 

  12. Misner, C., Thorne, K., and Wheeler, A. (1973).Gravitation (Freeman and Co., San Francisco), p. 386.

    Google Scholar 

  13. Schouten, J. A. (1954).Ricci Calculus (Springer Verlag, Berlin), p. 146.

    Google Scholar 

  14. Tulczjev (1959).Act. Phys. Pol., XVIII, 5, pp. 393–409.

    Google Scholar 

  15. Nordtvedt Jr., K. (1982).Rep. Prog. Phys.,45, 6, p. 631–652.

    Google Scholar 

  16. Pullin, J. A. (1986).Gen. Rel. Grav.,18, 1087.

    Google Scholar 

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Pullin, J., Bressan, O. New Weyl theory: Geometrization of electromagnetism and gravitation: Motivations and classical results. Gen Relat Gravit 19, 601–610 (1987). https://doi.org/10.1007/BF00762556

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  • DOI: https://doi.org/10.1007/BF00762556

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