2006/04/30 by M. O. Katanaev · 3 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1007/s11232-006-0116-3
published as Theor.Math.Phys. 148 (2006) 1264-1294; Teor.Mat.Fiz. 148 (2006) 459-494 · 33 pages, 1 figure, corrected references
openalex publication_date 2006/09/01 · arxiv created 2006/09/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
Phase space of General Relativity is extended to a Poisson manifold by inclusion of the determinant of the metric and conjugate momentum as additional independent variables. As a result, the action and the constraints take a polynomial form. New expression for the generating functional for the Green functions is proposed. We show that the Dirac bracket defines degenerate Poisson structure on a manifold, and a second class constraints are the Casimir functions with respect to this structure. As an application of the new variables, we consider the Friedmann universe.