The absence of the Kerr black hole in the Ho\v{r}ava-Lifshitz gravity
  We show that the Kerr metric does not exist as a fully rotating black hole solution to the modified Ho\v{r}ava-Lifshitz (HL) gravity with $\Lambda_W=0$ and $\lambda=1$ case. We perform it by showing that the Kerr metric does not satisfy full equations derived from the modified HL gravity. 
Hyung Won Lee and Yun Soo Myung
gr-qc hep-th