On the geometric foundation of classical gauge gravitation theory

Details On the geometric foundation of classical gauge gravitation theory On the geometric foundation of classical gauge gravitation theory

2002-01-22

arxiv.org/abs/gr-qc/0201074v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

47 pages

Scientific paper

A number of recent works in E-print arXiv have addressed the foundation of gauge gravitation theory again. As is well known, differential geometry of fibre bundles provides the adequate mathematical formulation of classical field theory, including gauge theory on principal bundles. Gauge gravitation theory is formulated on the natural bundles over a world manifold whose structure group is reducible to the Lorentz group. It is the metric-affine gravitation theory where a metric (tetrad) gravitational field is a Higgs field.

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