Emergent universe from the Ho\v{r}ava-Lifshitz gravity
  We study the stability of the Einstein static universe in the
Ho\v{r}ava-Lifshitz (HL) gravity and a generalized version of it formulated by
Sotiriou, Visser and Weifurtner. We find that, for the HL cosmology, there
exists a stable Einstein static state if the cosmological constant $\Lambda$ is
negative. The universe can stay at this stable state eternally and thus the big
bang singularity can be avoided. However, in this case, the Universe can not
exit to an inflationary era. For the Sotiriou, Visser and Weifurtner HL
cosmology, if the cosmic scale factor satisfies certain conditions initially,
the Universe can stay at the stable state past eternally and may undergo a
series of infinite, nonsingular oscillations. Once the parameter of the
equation of state $w$ approaches a critical value, the stable critical point
coincides with the unstable one, and the Universe enters an inflationary era.
Therefore, the big bang singularity can be avoided and a subsequent inflation
can occur naturally.
