Geodesic
Classical Gauge Theory of Gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 2, pp. 318-328

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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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     author = {G. A. Sardanashvily},
     title = {Classical {Gauge} {Theory} of {Gravity}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {132},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_132_2_a9/}
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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/