A Trouble with Hořava-Lifshitz Gravity

Details A Trouble with Hořava-Lifshitz Gravity A Trouble with Hořava-Lifshitz Gravity

2009-05-17

arxiv.org/abs/0905.2751v4

JHEP 0908:015,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, some discussions, comments and references added, JHEP style

Scientific paper

10.1088/1126-6708/2009/08/015

We study the structure of the phase space in Ho\v{r}ava-Lifshitz theory. With the constraints derived from the action, the phase space is described by five fields, thus there is a lack of canonical structure. The Poisson brackets of the Hamiltonian density do not form a closed structure, resulting in many new constraints. Taking these new constraints into account, it appears that there is no degree of freedom left, or the phase space is reduced to one with an odd number of fields.

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