Quasinormal modes and thermodynamical aspects of the 3D Lifshitz black hole

TL;DR

This paper analyzes quasinormal modes and thermodynamical properties of a 3D Lifshitz black hole, demonstrating stability under scalar and spinorial perturbations and deriving an equally spaced area spectrum.

Contribution

It provides analytical and numerical results for quasinormal modes of scalar and spinorial fields in a 3D Lifshitz black hole, confirming stability and calculating the area spectrum.

Findings

Quasinormal modes match analytical results for scalar perturbations.

Model remains stable under spinorial perturbations.

Area spectrum is equally spaced.

Abstract

We consider scalar and spinorial perturbations on a background described by a $z=3$ three-dimensional Lifshitz black hole. We obtained the corresponding quasinormal modes which perfectly agree with the analytical result for the quasinormal frequency in the scalar case. The numerical results for the spinorial perturbations reinforce our conclusion on the stability of the model under these perturbations. We also calculate the area spectrum, which prove to be equally spaced, as an application of our results.