The gauge group in the real triad formulation of general relativity

Details The gauge group in the real triad formulation of general relativity The gauge group in the real triad formulation of general relativity

1999-12-21

arxiv.org/abs/gr-qc/9912087v1

Gen.Rel.Grav. 32 (2000) 1727-1744

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Submitted to Gen. Rel. Grav. - 8 pages

Scientific paper

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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