A complete analysis of linear cosmological perturbations in Hořava-Lifshitz gravity

Details A complete analysis of linear cosmological perturbations in Hořava-Lifshitz gravity A complete analysis of linear cosmological perturbations in Hořava-Lifshitz gravity

2010-02-07

arxiv.org/abs/1002.1429v2

Phys.Rev.D81:084053,2010

Physics

High Energy Physics

High Energy Physics - Theory

22 pages; added comments and references, published version

Scientific paper

10.1103/PhysRevD.81.084053

We investigate the linear cosmological perturbations in Ho\v{r}ava-Lifshitz gravity with a scalar field. Starting from the most general expressions of the metric perturbations as well as that of a canonical scalar field, we decompose the scalar, vector and tensor parts of the perturbed action. By reducing the Hamiltonian, we find that there are two independent degrees of freedom for the tensor perturbations while none for the vector perturbations. For the scalar perturbations, the remaining number of degrees of freedom, which are all gauge invariant, depends on whether the projectable condition is applied or not. For both cases, we lose the time reparametrization symmetry of any kind.

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