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arXiv · gr-qc/9702034

Metric-Affine Gauge Theory of Gravity I. Fundamental Structure and Field Equations

Frank Gronwald
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Abstract

We give a self-contained introduction into the metric-affine gauge theory of gravity. Starting from the equivalence of reference frames, the prototype of a gauge theory is presented and illustrated by the example of Yang-Mills theory. Along the same lines we perform a gauging of the affine group and establish the geometry of metric-affine gravity. The results are put into the dynamical framework of a classical field theory. We derive subcases of metric-affine gravity by restricting the affine group to some of its subgroups. The important subcase of general relativity as a gauge theory of translations is explained in detail.

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Frank Gronwald. 1997-02-18. Metric-Affine Gauge Theory of Gravity I. Fundamental Structure and Field Equations. https://doi.org/10.1142/s0218271897000157

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