Hamiltonian analysis of mixed derivative Hořava-Lifshitz gravity

@article{Kluso2016HamiltonianAO,
  title={Hamiltonian analysis of mixed derivative Hořava-Lifshitz gravity},
  author={Josef Klusoň},
  journal={Physical Review D},
  year={2016},
  volume={94},
  pages={104043}
}
This short paper is devoted to the canonical analysis of the Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity with mixed derivative terms that was proposed in Phys. Rev. D 94, 084014 (2016). We determine the algebra of constraints and we show that there is one additional scalar degree of freedom with respect to the nonprojectable Ho\ifmmode \check{r}\else \v{r}\fi{}ava-Lifshitz gravity. 
Constraints on Hořava–Lifshitz gravity from GRB 170817A
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References

SHOWING 1-10 OF 13 REFERENCES
Uninvited guest in mixed derivative Hořava gravity
We revisit the mixed-derivative extension of Hořava gravity which was designed to address the naturalness problems of the standard theory in the presence of matter couplings. We consider the minimalExpand
Note about Hamiltonian formalism of healthy extended Hořava-Lifshitz gravity
In this paper we continue the study of the Hamiltonian formalism of the healthy extended Hořava-Lifshitz gravity. We find the constraint structure of given theory and argue that this is the theoryExpand
Nonprojectable Horava-Lifshitz gravity without the unwanted scalar graviton
We consider a way of eliminating the unwanted scalar graviton from Horava-Lifshitz gravity that is achieved via introduction of certain additional constraints. We perform canonical analysis of bothExpand
Hamiltonian structure of Hořava gravity
The Hamiltonian formulation of Horava gravity is derived. In a closed universe the Hamiltonian is a sum of generators of gauge symmetries, the foliation-preserving diffeomorphisms, and vanishes onExpand
Hořava gravity with mixed derivative terms
Horava gravity has been constructed so as to exhibit anisotropic scaling in the ultraviolet, as this renders the theory power-counting renormalizable. However, when coupled to matter, the theory hasExpand
Consistent extension of Horava gravity.
TLDR
A natural extension of Horava's model for quantum gravity is proposed, which endows the scalar graviton mode with a regular quadratic action and remains power-counting renormalizable at low energies. Expand
Hořava gravity with mixed derivative terms: Power counting renormalizability with lower order dispersions
It has been argued that Horava gravity needs to be extended to include terms that mix spatial and time derivatives in order avoid unacceptable violations of Lorentz invariance in the matter sector.Expand
Models of non-relativistic quantum gravity: the good, the bad and the healthy
Hořava’s proposal for non-relativistic quantum gravity introduces a preferred time foliation of space-time which violates the local Lorentz invariance. The foliation is encoded in a dynamical scalarExpand
Quantum Gravity at a Lifshitz Point
We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between spaceExpand
On Lorentz violation in Horava-Lifshitz type theories
We show that coupling the Standard Model to a Lorentz symmetry violating sector may co-exist with viable phenomenology, provided that the interaction between the two is mediated by higher-dimensionalExpand
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