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General relativity and gauge theories

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Abstract

The theory of general relativity is presented in the form of a gauge field theory by use of the group SL(2,C). The following topics are discussed: (1)Spinor representation of the group SL(2,C); (2)Connection between spinors and tensors; (3)Maxwell, Weyl and Riemann Spinors; (4)Classification of Maxwell spinor; (5)Classification of Weyl spinor; (6)Isotopic spin and gauge fields; (7)Lorentz invariance and the gravitational field; (8)SL(2,C) invariance and the gravitational field; (9)Gravitational field equations.

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Authors and Affiliations

  1. Department of Physics, University of the Negev, Beer Sheva, Israel

    M. Carmeli

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  1. M. Carmeli
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Carmeli, M. General relativity and gauge theories. Gen Relat Gravit 5, 287–330 (1974). https://doi.org/10.1007/BF00770218

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  • DOI: https://doi.org/10.1007/BF00770218

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