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most citedDiffeomorphism Invariance in the Hamiltonian formulation of General Relativity

36 citations · 283 across the 30 of their papers we have counts for

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gr-qc2012

Comment on "Modified F(R) Hořava-Lifshitz gravity: a way to accelerating FRW cosmology" by M. Chaichian, S. Nojiri, S. D. Odintsov, M. Oksanen, A. Tureanu

N. Kiriushcheva, P. G. Komorowski, S. V. Kuzmin

The partial Hamiltonian analysis of the Hořava-type action presented in the paper by M. Chaichian, S. Nojiri, S. D. Odintsov, M. Oksanen, A. Tureanu (Class. Quant. Grav. 27 (2011)…

gr-qc2011★ 33 cited

Comment on "Arnowitt--Deser--Misner representation and Hamiltonian analysis of covariant renormalizable gravity" by M. Chaichian, M. Oksanen, A. Tureanu

N. Kiriushcheva, P. G. Komorowski, S. V. Kuzmin

The partial Hamiltonian analysis of the actions presented in the paper by M. Chaichian, M. Oksanen, A. Tureanu (Eur. Phys. J. C 71, 1657 (2011)) is incorrect; the true algebra of c…

gr-qc2011★ 2 cited

Lagrangian symmetries of the ADM action. Do we need a solution to the "non-canonicity puzzle"?

N. Kiriushcheva, P. G. Komorowski, S. V. Kuzmin

We argue that there is nothing puzzling in the fact that the Hamiltonian formulation of a covariant theory, General Relativity, after a non-covariant change of field variables is n…

gr-qc2011★ 3 cited

Comment on `Hamiltonian formulation for the theory of gravity and canonical transformations in extended phase space' by T P Shestakova

N. Kiriushcheva, P. G. Komorowski, S. V. Kuzmin

We argue that the conclusion, `we cannot consider the Dirac approach as fundamental and undoubted', made in the paper by Shestakova (Class. Quantum Grav. 28 055009, 2011), is based…

gr-qc2011★ 1 cited

Remarks on the "non-canonicity puzzle": Lagrangian symmetries of the Einstein-Hilbert action

N. Kiriushcheva, P. G. Komorowski, S. V. Kuzmin

Given the non-canonical relationship between variables used in the Hamiltonian formulations of the Einstein-Hilbert action (due to Pirani, Schild, Skinner (PSS) and Dirac) and the…

gr-qc2009★ 16 cited

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…

gr-qc2009★ 5 cited

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…

gr-qc2009★ 2 cited

The Hamiltonian formulation of N-bein, Einstein-Cartan, gravity in any dimension: the Progress Report (Extended version of a talk given on CAIMS-2009, June 11-14, London, Canada)

N. Kiriushcheva, S. V. Kuzmin

The Hamiltonian formulation of N-bein, Einstein-Cartan, gravity, using its first order form in any dimension higher than two, is analyzed. This Hamiltonian formulation allows to ex…

gr-qc2009★ 7 cited

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…

gr-qc2009★ 19 cited

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…

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★ 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…

gr-qc2007★ 9 cited

Analysis of Hamiltonian formulations of linearized General Relativity

K. R. Green, N. Kiriushcheva, S. V. Kuzmin

The different forms of the Hamiltonian formulations of linearized General Relativity/spin-two theories are discussed in order to show their similarities and differences. It is demo…