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arXiv · 1008.5048

Scalar graviton in the healthy extension of Hořava-Lifshitz theory

Rong-Gen Cai·Bin Hu·Hong-Bo Zhang
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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 $z=3$. 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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Rong-Gen Cai, Bin Hu, Hong-Bo Zhang. 2011-03-15. Scalar graviton in the healthy extension of Hořava-Lifshitz theory. https://doi.org/10.1103/physrevd.83.084009

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