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
Tonnelat, M. A. (1965).Les Théories Unitaires de l'Electromagnétisme et la Gravitation (Gauthiers-Villars, Paris).
Weyl, H. (1919).Ann. Phys., IV,59, 10, 101–133.
Weyl, H. (1950).Space, Time, Matter (Dover Books, New York).
Einstein, A. (1918).Sitz. Pr. Akad. Wiss., 478.
Einstein, A. (1920),Z. Phys.,21, 651.
Pauli, W. (1958).Theory of Relativity, (Pergamon Press, New York), p. 195–196.
Eddington, A. S. (1963).The Mathematical Theory of Relativity (Cambridge University Press, Cambridge), p. 196–198 and p. 208–209.
Dirac, P. A. M. (1973).Proc. Roy. Soc. (London),A333, p. 403–418.
Papini, G. (1985).Phys. Lett.,A107, p. 26–28.
Bergmann, P. G. (1964).Introduction to the Theory of Relativity (Prentice Hall, New Jersey), p. 252–253.
Bressan, O. J. (1986).Gen. Rel. Grav.,18, 375.
Misner, C., Thorne, K., and Wheeler, A. (1973).Gravitation (Freeman and Co., San Francisco), p. 386.
Schouten, J. A. (1954).Ricci Calculus (Springer Verlag, Berlin), p. 146.
Tulczjev (1959).Act. Phys. Pol., XVIII, 5, pp. 393–409.
Nordtvedt Jr., K. (1982).Rep. Prog. Phys.,45, 6, p. 631–652.
Pullin, J. A. (1986).Gen. Rel. Grav.,18, 1087.
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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