Abstract
A geometrical formulation of gravitational and electromagnetic fields is presented for systems composed of point mass charged particles where the charge is small enough that electromagnetic radiation may be neglected. It is assumed that such charges produce a non-negligible contribution to the metric, and that their motion describes geodesics in the total metric which consists of that due to the charge itself and that due to the external environment of the charge. The above, together with several other assumptions yields the customary Einstein-Maxwell relations. It is demonstrated that this construction is not merely a re-statement of the Einstein-Maxwell theory in different terms.
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References
Bergmann, P. G. (1942).Introduction to the Theory of Relativity, Chapter 17. Prentice-Hall, New York.
Eddington, A. S. (1960).The Mathematical Theory of Relativity, Chapter 7. Cambridge University Press.
Einstein, A. (1945).Annals of Mathematics,46, 578.
Einstein, A. (1955).The Meaning of Relativity, Appendix II. Princeton University Press, Princeton, New Jersey.
Einstein, A. and Straus, G. (1946).Annals of Mathematics,47, 731.
Rainich, G. Y. (1925).Trans. American Mathematical Society,27, 106.
Schroedinger, E. (1947).Proceedings of the Royal Irish Academy,51, 163.
Schroedinger, E. (1948a).Proceedings of the Royal Irish Academy,52, 1.
Schroedinger, E. (1948b).Proceedings of the Royal Irish Academy,51, 205.
Weyl, H. (1918).Sitzungsberichte. Berlin.
Wheeler, J. A. (1961).Geometrodynamics. Academic Press, New York.
Wheeler, J. A. and Feynman, R. P. (1945).Review of Modern Physics,17, 157.
Wheeler, J. A. and Feynman, R. P. (1949).Review of Modern Physics,21, 425.
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Cohn, J. Considerations on a unified field theory. Int J Theor Phys 6, 123–131 (1972). https://doi.org/10.1007/BF00670424
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DOI: https://doi.org/10.1007/BF00670424