Scalar graviton in the healthy extension of Hořava-Lifshitz theory
arXiv:1008.5048 · doi:10.1103/PhysRevD.83.084009
Abstract
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 Hořava-Lifshitz gravity with the dynamical critical exponent . 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.
arXiv comment12 pages, 1 figure, ghost free condition addressed, accepted by Phys. Rev. D
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