Horava-Lifshitz gravity with $λ\to\infty$

Details Horava-Lifshitz gravity with $λ\to\infty$ Horava-Lifshitz gravity with $λ\to\infty$

2011-04-11

arxiv.org/abs/1104.2087v1

Phys.Rev.D83:124033,2011

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.83.124033

In the framework of the power-counting renormalizable theory of gravitation, recently proposed by Ho\v{r}ava, we study the limit $\lambda\to\infty$, which is arguably the most natural candidate for the ultraviolet fixed point of the renormalization group flow. In the projectable version with dynamical critical exponent $z=3$, we analyze the Friedmann-Robertson-Walker background driven by the so-called "dark matter as integration constant" and perturbations around it. We show that amplitudes of quantum fluctuations for both scalar and tensor gravitons remain finite in the limit and that the theory is weakly coupled under a certain condition.

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