Action functionals of single scalar fields and arbitrary--weight gravitational constraints that generate a genuine Lie algebra

Details Action functionals of single scalar fields and arbitrary--weight gravitational constraints that generate a genuine Lie algebra Action functionals of single scalar fields and arbitrary--weight gravitational constraints that generate a genuine Lie algebra

1996-01-26

arxiv.org/abs/gr-qc/9601043v1

Class.Quant.Grav. 13 (1996) 3085-3098

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, plain TEX

Scientific paper

10.1088/0264-9381/13/11/022

We discuss the issue initiated by Kucha\v{r} {\it et al}, of replacing the usual Hamiltonian constraint by alternative combinations of the gravitational constraints (scalar densities of arbitrary weight), whose Poisson brackets strongly vanish and cast the standard constraint-system for vacuum gravity into a form that generates a true Lie algebra. It is shown that any such combination---that satisfies certain reality conditions---may be derived from an action principle involving a single scalar field and a single Lagrange multiplier with a non--derivative coupling to gravity.

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