Extremal rotating solutions in Hořava gravity

Recently a new four-dimensional nonrelativistic renormalizable theory of gravity was proposed by Ho\ifmmode \check{r}\else \v{r}\fi{}ava. In this paper we have found different near horizon geometries in Ho\ifmmode \check{r}\else \v{r}\fi{}ava gravity. We find the rotating solutions in a special range of parameters of the theory. This range allows us to include up to six derivative terms in the equations of motion. We have found our solutions as perturbed solutions over spherical symmetric background with small rotating parameter.

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