Stability of the Einstein static universe in IR modified Ho\v{r}ava gravity

Recently, Horava proposed a power counting renormalizable theory for (3+1)-dimensional quantum gravity, which reduces to Einstein gravity with a non-vanishing cosmological constant in IR, but possesses improved UV behaviors. In this work, we analyze the stability of the Einstein static universe by considering linear homogeneous perturbations in the context of an IR modification of Horava gravity, which implies a soft' breaking of the detailed balance’ condition. The stability regions of the Einstein static universe are parameterized by the linear equation of state parameter w=p/\rho and the parameters appearing in the Horava theory, and it is shown that a large class of stable solutions exists in the respective parameter space.