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

Understand

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 Ho\v{r}ava-Lifshitz gravity presented in arXiv:1007.2410.
• Then we extend this construction to the case of RFDiff invariant Ho\v{r}ava-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.