Avoiding degenerate coframes in an affine gauge approach to quantum gravity

Details Avoiding degenerate coframes in an affine gauge approach to quantum gravity Avoiding degenerate coframes in an affine gauge approach to quantum gravity

1993-01-29

arxiv.org/abs/gr-qc/9301023v1

Phys.Rev.D48:673-679,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, Preprint Cologne-thp-1993-H2

Scientific paper

10.1103/PhysRevD.48.673

In quantum models of gravity, it is surmized that configurations with degenerate coframes could occur during topology change of the underlying spacetime structure. However, the coframe is not the true Yang--Mills type gauge field of the translations, since it lacks the inhomogeneous gradient term in the gauge transformations. By explicitly restoring this ``hidden" piece within the framework of the affine gauge approach to gravity, one can avoid the metric or coframe degeneracy which would otherwise interfere with the integrations within the path integral. This is an important advantage for quantization.

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