Stability of black holes in Horava gravity: Gravitational quasinormal modes

Gravitational perturbations in the geometry of asymptotically flat black hole solution in the deformed Ho\v{r}ava-Lifshitz(HL) gravity are considered and the associated quasinormal mode(QNM) frequencies are evaluated using WKB method. Black holes are found to be stable against small perturbations. We also find a significant deviation in the behavior of QNMs in HL theory for low values of HL parameter $\omega$, from that in the standard General Relativity(GR). QNMs are long lived in Ho\v{r}ava theory compared with the usual Schwarzschild black hole case.