Horava-Lifshitz gravity with $\lambda\to\infty$
  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.
