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Classical Gauge Theory of Gravity

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Abstract

The classical theory of gravity is formulated as a gauge theory on a frame bundle with spontaneous symmetry breaking caused by the existence of Dirac fermionic fields. The pseudo-Reimannian metric (tetrad field) is the corresponding Higgs field. We consider two variants of this theory. In the first variant, gravity is represented by the pseudo-Reimannian metric as in general relativity theory; in the second variant, it is represented by the effective metric as in Logunov's relativistic theory of gravity. The configuration space, Dirac operator, and Lagrangians are constructed for both variants.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    G. A. Sardanashvily

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  1. G. A. Sardanashvily
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Sardanashvily, G.A. Classical Gauge Theory of Gravity. Theoretical and Mathematical Physics 132, 1163–1171 (2002). https://doi.org/10.1023/A:1019712911009

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