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

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

1997-02-18

arxiv.org/abs/gr-qc/9702034v1

Int.J.Mod.Phys. D6 (1997) 263-304

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

43 pages, LaTeX, six .eps figures included, uses lscape.sty, to appear in Int. J. Mod. Phys. D

Scientific paper

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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