Eur. Phys. J. C (2020) 80: 600
https://doi.org/10.1140/epjc/s10052-020-8169-2

Regular Article - Theoretical Physics

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

¹ Departamento de Ciencias Matemáticas y Físicas, Universidad Católica de Temuco, Montt 56, Casilla 15-D, Temuco, Chile
² Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile
³ Department of Physics, National Technical University of Athens, Zografou Campus GR 157 73, 157 73, Athens, Greece
⁴ Departamento de Física y Astronomía, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile

^* e-mail: yvasquez@userena.cl

Received: 28 January 2020
Accepted: 17 June 2020
Published online: 2 July 2020

Abstract

We compute the quasinormal modes (QNMs) of a massive scalar field in the background of a rotating three-dimensional Hořava 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.