Stability of black holes in Horava gravity: Gravitational quasinormal modes
Abstract
Gravitational perturbations in the geometry of asymptotically flat black hole solution in the deformed Horava-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 ω, from that in the standard General Relativity(GR). QNMs are long lived in Horava theory compared with the usual Schwarzschild black hole case.
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