Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity

Details Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity

2009-05-04

arxiv.org/abs/0905.0255v3

Phys.Rev.D80:041501,2009

Physics

High Energy Physics

High Energy Physics - Theory

5pages, no figures, references added, version to appear in PRD(R)

Scientific paper

10.1103/PhysRevD.80.041501

We investigate the linear cosmological perturbations of Ho\v{r}ava-Lifshitz gravity in a FRW universe without any matter. Our results show that a new gauge invariant dynamical scalar mode emerges, due to the gauge transformation under the "foliation-preserving" diffeomorphism and "projectability condition", and it can produce a scale invariant power spectrum. In the infrared regime with $\lambda=1$, the dynamical scalar degree of freedom turns to be a non-dynamical one at the linear order level.

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