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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 1, Pages 142–160
DOI: https://doi.org/10.4213/tmf1035 (Mi tmf1035) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Poisson algebra independent on boundary conditions in Ashtekar's formalism

V. O. Soloviev

Institute for High Energy Physics
Full-text PDF (287 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf1035
Abstract: The algebra of spatial diffeomorfisms and gauge transformations is studied in the canonical formalism of General Relativity in Ashtekar and ADM variables. The previously proposed modification of a Poisson bracket by adding surface terms is exploited. It permits to consider all local functionals as admissible. It is shown that this algebra can be closed even before the fixing of boundary conditions due to a special choice of surface terms in the generators. The essential point is that the Poisson structure for the Ashtekar variables is not canonical on the boundary.
Received: 28.11.1996
Revised: 26.02.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 1, Pages 906–921
DOI: https://doi.org/10.1007/BF02634107
Bibliographic databases:
Language: Russian
Citation: V. O. Soloviev, “Poisson algebra independent on boundary conditions in Ashtekar's formalism”, TMF, 112:1 (1997), 142–160; Theoret. and Math. Phys., 112:1 (1997), 906–921
Citation in format AMSBIB
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\paper Poisson algebra independent on boundary conditions in Ashtekar's formalism
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\pages 142--160
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 112
\issue 1
\pages 906--921
\crossref{https://doi.org/10.1007/BF02634107}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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