Quasinormal modes of Four Dimensional Topological Nonlinear Charged Lifshitz Black Holes

TL;DR

This paper numerically analyzes the quasinormal modes of scalar perturbations in four-dimensional topological nonlinear charged Lifshitz black holes, revealing stability characteristics influenced by various parameters.

Contribution

It provides the first detailed numerical study of quasinormal modes and stability of these specific Lifshitz black holes under scalar field perturbations.

Findings

Modes are overdamped depending on the dynamical exponent and angular momentum for spherical sections.

Modes are always overdamped for plane transverse sections.

Stability depends on the scalar field's mass, angular momentum, and the black hole's parameters.

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 constrast, for plane transverse sections the modes are always overdamped.