Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-11-11
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 Pages. We found a mistake in our first version -- the Horava-type models of EPJC 71, 1657 (2011) do have a spatial diffeomo
Scientific paper
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 constraints differs from what they claim for their choice of momentum constraint. Our blind acceptance of the correctness of their constraint algebra led us to conclude, wrongly, that a few of the models presented by the authors (sharing the same constraint algebra) are not invariant under spatial diffeomorphism. We "proved" this by using Noether's second theorem (see first version of the paper), but we then found a mistake in our calculations. The differential identity of spatial diffeomorphism is intact, therefore, their actions are invariant; but in this case, the spatial diffeomorphism gauge symmetry cannot be compatible with their algebra. We now explicitly demonstrate that the actual algebra of constraints is different, and briefly describe how it affects the generator and gauge transformations of the fields.
Kiriushcheva N.
Komorowski P. G.
Kuz'min S. V.
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