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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf1035https://doi.org/10.4213/tmf1035 https://www.mathnet.ru/eng/tmf/v112/i1/p142
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Abstract page: | 326 | Full-text PDF : | 171 | References: | 56 | First page: | 1 |
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