Hamiltonian analysis of Linearized Extension of Horava-Lifshitz gravity
Abstract
We investigate the Hamiltonian structure of linearized extended Horava- Lifshitz gravity in a flat cosmological background following the Faddeev-Jackiw's Hamiltonian reduction formalism. The Hamiltonian structure of extended Horava-Lifshitz gravity is similar to that of the projectable version of original Horava-Lifshitz gravity, in which there is one primary constraint and so there are two physical degrees of freedom. We also find that extra scalar graviton mode in an inflationary background can be decoupled from the matter field in the infrared (IR) limit, but it is coupled to the matter field in a general cosmological background. But it is necessary to go beyond linear order in order to draw any conclusion of the strong coupling problem.
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