Free Boundary Poisson Bracket Algebra in Ashtekar's Formalism

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dc.creatorSoloviev, Vladimir O.
dc.date1998-09-18
dc.date.accessioned2026-07-07T11:08:46Z
dc.date.available2026-07-07T11:08:46Z
dc.descriptionWe consider the algebra of spatial diffeomorphisms and gauge transformations in the canonical formalism of General Relativity in the Ashtekar and ADM variables. Modifying the Poisson bracket by including surface terms in accordance with our previous proposal allows us to consider all local functionals as differentiable. We show that closure of the algebra under consideration can be achieved by choosing surface terms in the expressions for the generators prior to imposing any boundary conditions. An essential point is that the Poisson structure in the Ashtekar formalism differs from the canonical one by boundary terms.
dc.description19 pages, Latex, amsfonts.sty, amssymb.sty
dc.identifierhttps://arxiv.org/abs/gr-qc/9809058
dc.identifierhttp://arxiv.org/abs/gr-qc/9809058
dc.identifierTheor.Math.Phys.112:906-921,1997; Teor.Mat.Fiz.112N1:142-160,1997
dc.identifierdoi:10.1007/BF02634107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190248
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleFree Boundary Poisson Bracket Algebra in Ashtekar's Formalism
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