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gr-qc2008★ 2 cited
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…
gr-qc2008★ 52 cited
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…
gr-qc2008★ 36 cited
Diffeomorphism Invariance in the Hamiltonian formulation of General Relativity
N. Kiriushcheva, S. V. Kuzmin, C. Racknor +1
It is shown that when the Einstein-Hilbert Lagrangian is considered without any non-covariant modifications or change of variables, its Hamiltonian formulation leads to results con…