Action functionals of single scalar fields and arbitrary-weight gravitational constraints that generate a genuine Lie algebra
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Publication:5689723
DOI10.1088/0264-9381/13/11/022zbMATH Open0860.58054arXivgr-qc/9601043OpenAlexW3105606002WikidataQ115294003 ScholiaQ115294003MaRDI QIDQ5689723
Publication date: 21 April 1997
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Abstract: We discuss the issue initiated by Kuchav{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.
Full work available at URL: https://arxiv.org/abs/gr-qc/9601043
Quantization of the gravitational field (83C45) Applications of global analysis to the sciences (58Z05) Geometric quantization (53D50)
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