Eur. Phys. J. C (2016) 76: 78
https://doi.org/10.1140/epjc/s10052-016-3937-8

Regular Article - Theoretical Physics

Quasinormal modes of four-dimensional topological nonlinear charged Lifshitz black holes

¹ Departamento de Ciencias Matemáticas y Físicas, Universidad Cató lica de Temuco, Montt 56, Casilla 15-D, Temuco, Chile
² Facultad de Ingeniería, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile
³ Departamento de Física, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile

^* e-mail: pablo.gonzalez@udp.cl

Received: 29 October 2015
Accepted: 9 February 2016
Published online: 16 February 2016

Abstract

We study scalar perturbations of four- dimensional topological nonlinear charged Lifshitz black holes with spherical and plane transverse sections, and we find numerically the quasinormal modes for scalar fields. Then we study the stability of these black holes under massive and massless scalar field perturbations. We focus our study on the dependence of the dynamical exponent, the nonlinear exponent, the angular momentum, and the mass of the scalar field in the modes. It is found that the modes are overdamped, depending strongly on the dynamical exponent and the angular momentum of the scalar field for a spherical transverse section. In contrast, for plane transverse sections the modes are always overdamped.