Electromagnetic quasinormal modes of D-dimensional black holes II

TL;DR

This paper computes electromagnetic quasinormal modes of D-dimensional black holes using WKB approximation, analyzing their dependence on spacetime parameters and comparing with gravitational perturbations, including exact results for special black hole spacetimes.

Contribution

It provides new calculations of electromagnetic quasinormal frequencies in D-dimensional black holes, including exact solutions for specific cases and a detailed analysis of parameter dependencies.

Findings

QN frequencies depend on cosmological constant and dimension

Exact QN frequencies obtained for topological black holes and Nariai spacetime

Comparison with gravitational perturbations highlights differences in mode behavior

Abstract

By using the sixth order WKB approximation we calculate for an electromagnetic field propagating in D-dimensional Schwarzschild and Schwarzschild de Sitter black holes its quasinormal frequencies for the fundamental mode and first overtones. We study the dependence of these QN frequencies on the value of the cosmological constant and the spacetime dimension. We also compare with the known results for the gravitational perturbations propagating in the same background. Moreover we exactly compute the QN frequencies of the electromagnetic field propagating in D-dimensional massless topological black hole and for charged D-dimensional Nariai spacetime we exactly calculate the QN frequencies of the coupled electromagnetic and gravitational perturbations.