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We compute the quasinormal modes (QNMs) of a massive scalar field in thebackground of a rotating three-dimensional Ho\v{r}ava AdS black hole, and weanalyze the effect of the breaking of the Lorentz invariance on the QNMs.Imposing on the horizon that there are only ingoing waves and at infinity theDirichlet boundary conditions and the Neumann boundary condition, we calculatethe oscillatory and the decay modes of the QNMs. We find that the propagationof the scalar field is stable in this background and employing the holographicprinciple we find the different times of the perturbed system to reach thermalequilibrium for the various branches of solutions.

Quasinormal modes of three-dimensional rotating Ho\v{r}ava AdS black hole and the approach to thermal equilibrium