Electromagnetic quasinormal modes of an asymptotically Lifshitz black hole

TL;DR

This paper calculates the exact electromagnetic quasinormal frequencies of a D-dimensional asymptotically Lifshitz black hole to analyze its stability and the presence of unstable modes.

Contribution

It provides the first exact calculation of electromagnetic quasinormal modes in Lifshitz black holes, extending previous results and stability analysis.

Findings

Electromagnetic quasinormal frequencies are explicitly obtained.

The stability of the Lifshitz black hole under electromagnetic perturbations is confirmed.

No unstable electromagnetic modes are found in the studied spacetime.

Abstract

Motivated by the recent interest in the study of the spacetimes that are asymptotically Lifshitz and in order to extend some previous results, we calculate exactly the quasinormal frequencies of the electromagnetic field in a D-dimensional asymptotically Lifshitz black hole. Based on the values obtained for the quasinormal frequencies we discuss the classical stability of the quasinormal modes. We also study whether the electromagnetic field possesses unstable modes in the D-dimensional Lifshitz spacetime.