Quasinormal modes of three-dimensional rotating Hoava AdS black hole and the approach to thermal equilibrium

We compute the quasinormal modes (QNMs) of a massive scalar field in the background of a rotating three-dimensional Hoava AdS black hole, and we analyze the effect of the breaking of Lorentz invariance on the QNMs. Imposing on the horizon the requirements that there are only ingoing waves and at infinity the Dirichlet boundary conditions and the Neumann boundary condition hold, we calculate the oscillatory and the decay modes of the QNMs. We find that the propagation of the scalar field is stable in this background and employing the holographic principle we find the different times of the perturbed system to reach thermal equilibrium for the various branches of solutions