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The Hamiltonian of Einstein affine-metric formulation of General Relativity
N. Kiriushcheva, S. V. Kuzmin
It is shown that the Hamiltonian of the Einstein affine-metric (first order) formulation of General Relativity (GR) leads to a constraint structure that allows the restoration of i…
Darboux coordinates for the Hamiltonian of first order Einstein-Cartan gravity
N. Kiriushcheva, S. V. Kuzmin
Based on preliminary analysis of the Hamiltonian formulation of the first order Einstein-Cartan action (arXiv:0902.0856 [gr-qc] and arXiv:0907.1553 [gr-qc]) we derive the Darboux c…
Translational invariance of the Einstein-Cartan action in any dimension
N. Kiriushcheva, S. V. Kuzmin
We demonstrate that from the first order formulation of the Einstein-Cartan action it is possible to derive the basic differential identity that leads to translational invariance o…
Hamiltonian formulation of tetrad gravity: three dimensional case
A. M. Frolov, N. Kiriushcheva, S. V. Kuzmin
The Hamiltonian formulation of the tetrad gravity in any dimension higher than two, using its first order form when tetrads and spin connections are treated as independent variable…
Algebraic analysis of a model of two-dimensional gravity
A. M. Frolov, N. Kiriushcheva, S. V. Kuzmin
An algebraic analysis of the Hamiltonian formulation of the model two-dimensional gravity is performed. The crucial fact is an exact coincidence of the Poisson brackets algebra of…