Anisotropic Cosmology and (Super)Stiff Matter in Ho\v{r}ava's Gravity Theory

Abstract

We study anisotropic cosmology in Ho\v{r}ava's gravity theory and obtain Kasner type solutions, valid for any number d of spatial dimensions. The corresponding exponents satisfy two relations, one involving the marginal coupling \lambda. Also, Ho\v{r}ava's (super)renormalisable theory predicts (super)stiff matter whose equation of state is p = w \rho with w \ge 1. We discuss briefly the implications of these results for the nature of cosmological collapse.