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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…
On canonical transformations between equivalent Hamiltonian formulations of General Relativity
A. M. Frolov, N. Kiriushcheva, S. V. Kuzmin
Two Hamiltonian formulations of General Relativity, due to Pirani, Schild and Skinner (Phys. Rev. 87, 452, 1952) and Dirac (Proc. Roy. Soc. A 246, 333, 1958), are considered. Both…
The Hamiltonian formulation of General Relativity: myths and reality
N. Kiriushcheva, S. V. Kuzmin
A conventional wisdom often perpetuated in the literature states that: (i) a 3+1 decomposition of space-time into space and time is synonymous with the canonical treatment and this…