Electromagnetic quasinormal modes of D-dimensional black holes

TL;DR

This paper calculates the asymptotic electromagnetic quasinormal frequencies of D-dimensional black holes, including Schwarzschild, de Sitter, and anti-de Sitter types, using the monodromy method, and also explores normal modes in AdS spacetime.

Contribution

It extends the calculation of electromagnetic quasinormal modes to various D-dimensional black holes and AdS spacetime using the monodromy method, providing new insights into their spectral properties.

Findings

Computed asymptotic QN frequencies for D-dimensional Schwarzschild and SdS black holes.

Derived electromagnetic normal modes for D-dimensional AdS spacetime.

Extended the monodromy method to new classes of higher-dimensional black holes.

Abstract

Using the monodromy method we calculate the asymptotic quasinormal (QN) frequencies of an electromagnetic field moving in D-dimensional Schwarzschild and Schwarzschild de Sitter (SdS) black holes ($D\geq 4$). For the D-dimensional Schwarzschild anti-de Sitter (SadS) black hole we also compute these frequencies with a similar method. Moreover, we calculate the electromagnetic normal modes of the D-dimensional anti-de Sitter (AdS) spacetime.