2010/11/30 by J. Klusoň, J. Kluson · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Covariant transformation #Diffeomorphism #Foliation (geology) #Geology #Geophysics and Gravity Measurements #Hamiltonian (control theory) #Invariant (physics) #Mathematical physics #Mathematics #Physics #Pure mathematics #hep-th
paper · pdf · doi:10.1103/physrevd.83.044049
published as Phys.Rev.D83:044049,2011 · 15 pages, v2. Title changed, major corrections in section 3. performed, corrected typos and references added,v3: additional typos corrected, references added,v4.additional comments added, version published in PRD
openalex publication_date 2011/02/25 · arxiv created 2011/03/01 · arxiv updated 2011/03/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We perform the Hamiltonian analysis of nonrelativistic covariant Ho\ifmmode \checkr\else \vr\fiava-Lifshitz gravity in the formulation presented recently in arXiv:1009.4885. We argue that the resulting Hamiltonian structure is in agreement with the original construction of nonrelativistic covariant Ho\ifmmode \checkr\else \vr\fiava-Lifshitz gravity presented in arXiv:1007.2410. Then we extend this construction to the case of restricted-foliation-preserving diffeomorphism invariant Ho\ifmmode \checkr\else \vr\fiava-Lifshitz theory. We find a well behaved Hamiltonian system with the number of the first- and the second-class constraints that ensure the correct number of physical degrees of freedom of gravity.