SL(2C) invariance of the gravitational field |
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Authors: | Moshe Carmeli |
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Institution: | (1) General Physics Research Laboratory, Aerospace Research Laboratory, 45433 Wright-Patterson AFB, Ohio;(2) Present address: Department of Physics, University of the Negev, Beer Sheva, Israel |
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Abstract: | The gravitational field equations of general relativity theory are cast into a Yang-Mills-type theory by use of the group SL(2,C). The spin coefficients take the rôle of the Yang-Mills-like potentials, whereas the Riemann tensor takes the rôle of the fields. Comparison of this formalism with that of Utiyama and Kibble who related invariance under the Lorentz and the Poincaré groups to the existence of the gravitational field, is discussedBased on a lecture given at the International Conference on Relativity and Gravitation, Copenhagen, July 1971. |
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