Polynomial Hamiltonian form of General Relativity

Details Polynomial Hamiltonian form of General Relativity Polynomial Hamiltonian form of General Relativity

2006-04-21

arxiv.org/abs/gr-qc/0604096v2

Theor.Math.Phys. 148 (2006) 1264-1294; Teor.Mat.Fiz. 148 (2006) 459-494

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, 1 figure, corrected references

Scientific paper

10.1007/s11232-006-0116-3

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.

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