The metric-affine gravitational theory as the gauge theory of the affine group

Physics

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Scientific paper

The metric-affine gravitational theory is shown to be the gauge theory of the affine group, or equivalently, the gauge theory of the group GL(4,R) of tetrad deformations in a space-time with a locally Minkowskian metric. The identities of the metric-affine theory, and the relationship between them and those of general relativity and Sciama-Kibble theory, are derived.
I wish to thank F.W. Hehl for valuable discussions. Also the von Humboldt Foundation for the award of a fellowship.

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