Classical gauge theory of gravity

Details Classical gauge theory of gravity Classical gauge theory of gravity

2002-08-19

arxiv.org/abs/gr-qc/0208054v1

Theor.Math.Phys. 132 (2002) 1163-1171; Teor.Mat.Fiz. 132 (2002) 318-328

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages

Scientific paper

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-Riemannian 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-Riemannian metric as in general relativity theory; in the second variant, it is represented by the effective metric as in the Logunov relativistic theory of gravity. The configuration space, Dirac operator, and Lagrangians are constructed for both variants.

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