Geodesic
Classical Gauge Theory of Gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 2, pp. 318-328 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: gravity, gauge field, Higgs field, spinor field. 
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G. A. Sardanashvily. Classical Gauge Theory of Gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 2, pp. 318-328. http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a9/

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