Scalar graviton in the healthy extension of Hořava-Lifshitz theory

Details Scalar graviton in the healthy extension of Hořava-Lifshitz theory Scalar graviton in the healthy extension of Hořava-Lifshitz theory

2010-08-30

arxiv.org/abs/1008.5048v3

Phys.Rev.D83:084009,2011

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure, ghost free condition addressed, accepted by Phys. Rev. D

Scientific paper

10.1103/PhysRevD.83.084009

In this note we study the linear dynamics of scalar graviton in a de Sitter background in the infrared limit of the healthy extension of Ho\v{r}ava-Lifshitz gravity with the dynamical critical exponent $z=3$. Both our analytical and numerical results show that the non-zero Fourier modes of scalar graviton oscillate with an exponentially damping amplitude on the sub-horizon scale, while on the super-horizon scale, the phases are frozen and they approach to some asymptotic values. In addition, as the case of the non-zero modes on super-horizon scale, the zero mode also initially decays exponentially and then approaches to an asymptotic constant value.

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