Covariant canonical formalism for gravity
type: Item
instance of: scholarly article
title: Covariant canonical formalism for gravity
zbMATH Open document ID: 0591.53060
DOI: 10.1016/0003-4916(86)90057-6
author: J. E. Nelson
author: Tullio Regge
published in: Annals of Physics
publication date: 1986-01-01T00:00:00Z
review text: Die Arbeit weicht in der Bezeichnungsweise vom üblichen ab (Beispiel: Poisson Brackets) und besteht weitgehend aus Formeln mit unerklärten Symbolen, dies gerade auch im Anhang, der eigentlich der mathematischen Erläuterung dienen sollte. Fruchtbare neue Begriffsbildungen bzw. neuartige methodische Kunstgriffe scheint sie nicht zu enthalten. [For the reader's convenience the reviewer's comment is supplemented by the summary of this paper: ''We continue the previous discussion [\textit{A. D'Adda} and the authors, ibid. 165, 384-397 (1985; Zbl 0584.53042)] of the covariant canonical formalism for the group manifold and relate it to the standard canonical vierbein formalism as pioneered by Dirac. The form bracket is related to the Poisson bracket of classical mechanics. We utilize systematically the calculus of differential forms and a compound notation which labels Poincaré multiples. In this way we obtain a particularly clear and compact expression for the Hamiltonian and the constraint algebra of the vierbein formalism''].
Mathematics Subject Classification ID: 53B50
zbMATH DE Number: 3949250
zbMATH Keywords: canonical formalism
zbMATH Keywords: group manifold
zbMATH Keywords: Poisson bracket
zbMATH Keywords: vierbein formalism
reviewed by: Peter Kraut
MaRDI profile type: Publication
full work available at URL: 0003-4916(86)90057-6
OpenAlex ID: W2045789811
cites work: Q5730830
cites work: Canonical variables, expression for energy, and the criteria for radiation in general relativity
cites work: The theory of gravitation in Hamiltonian form
description: scientific article; zbMATH DE number 3949250