On the Hamiltonian form of the Einstein equations for gravitational field

Details On the Hamiltonian form of the Einstein equations for gravitational field On the Hamiltonian form of the Einstein equations for gravitational field

2010-04-28

arxiv.org/abs/1004.4995v1

International Journal of Modern Physics A, v.25, No.21, (2010) 4101-4110

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

10.1142/S0217751X10049840

It is shown that Einstein gravitational equations and canonical equations following from the Dirac-Schwinger Hamiltonian in the Faddeev variables coincide. For proving of this at first, the Einstein equations has been rewritten in canonical variables, and after this, the time derivative of the generalized momenta of the gravitational field in Faddeev form has been calculated using canonical Poisson brackets. The results coincide.

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