Hamiltonian Analysis of Non-Relativistic Covariant RFDiff Horava-Lifshitz Gravity

Abstract

We perform the Hamiltonian analysis of non-relativistic covariant Horava-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 non-relativistic covariant Hořava-Lifshitz gravity presented in arXiv:1007.2410. Then we extend this construction to the case of RFDiff invariant Hořava-Lifshitz theory. We find 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.

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

References in corpus (18)

• Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Horava-Lifshitz Cosmology: A Review
• On the Extra Mode and Inconsistency of Horava Gravity
• Horava-Lifshitz gravity: a status report
• 3+1 Formalism and Bases of Numerical Relativity
• A Trouble with Hořava-Lifshitz Gravity
• An Alternative Approach for General Covariant Horava-Lifshitz Gravity and Matter Coupling
• Projectable Horava-Lifshitz gravity in a nutshell
• Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity
• The good, the bad and the ugly .... of Horava gravity
• Cosmology in nonrelativistic general covariant theory of gravity
• Stability, ghost, and strong coupling in nonrelativistic general covariant theory of gravity with $\lambda \ne 1$
• Spherically symmetric solutions in Covariant Horava-Lifshitz Gravity
• Black holes, compact objects and solar system tests in non-relativistic general covariant theory of gravity
• Closure of the algebra of constraints for a nonprojectable Hořava model
• Horava-Lifshitz Gravity And Ghost Condensation

Cited by in corpus (5)

• Stability, ghost, and strong coupling in nonrelativistic general covariant theory of gravity with $\lambda \ne 1$
• Detailed balance condition and ultraviolet stability of scalar field in Horava-Lifshitz gravity
• Hamiltonian analysis of nonprojectable Hořava-Lifshitz gravity with $U(1)$ symmetry
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Wave zone in the Hořava-Lifshitz theory at the kinetic-conformal point in the low energy regime