The gauge group in the real triad formulation of general relativity

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.

Submitted to Gen. Rel. Grav. - 8 pages

References in corpus (2)

• Gauge Transformations in Einstein-Yang-Mills Theories
• Tetrad Gravity: I) A New Formulation

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