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The gauge group in the real triad formulation of general relativity

J. M. Pons·D. C. Salisbury·L. C. Shepley
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Abstract

We construct explicitly generators of projectable four-dimensional diffeomorphisms and triad rotation gauge symmetries in a model of vacuum gravity where the fundamental dynamical variables in a Palatini formulation are taken to be a lapse, shift, densitized triad, extrinsic curvature, and the time-like components of the Ricci rotation coefficient. Time-foliation-altering diffeomorphisms are not by themselves projectable under the Legendre transformations. They must be accompanied by a metric- and triad-dependent triad rotation. The phase space on which these generators act includes all of the gauge variables of the model.

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J. M. Pons, D. C. Salisbury, L. C. Shepley. 1999-12-21. The gauge group in the real triad formulation of general relativity. https://doi.org/10.1023/a%3A1001946521258

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