Slowly damped quasinormal modes of the massive Dirac field in d-dimensional Tangherlini spacetime

TL;DR

This paper investigates the quasinormal modes of a massive Dirac field around higher-dimensional Schwarzschild-Tangherlini black holes, revealing slowly damped modes at large mass without unstable modes, using analytical and numerical methods.

Contribution

It provides the first detailed analysis of massive Dirac quasinormal modes in d-dimensional Tangherlini black holes, including analytical approximations and numerical spectra for various dimensions.

Findings

No unstable modes found in the spectrum.

Large mass leads to very slowly damped, quasistationary modes.

Spectra computed for dimensions 4 to 9 using WKB and continued fraction methods.

Abstract

We consider quasinormal modes of the massive Dirac field in the background of a Schwarzschild- Tangherlini black hole. Different dimensions of the spacetime are considered, from d = 4 to d = 9. The quasinormal modes are calculated using two independent methods: WKB and continued fraction. We obtain the spectrum of quasinormal modes for different values of the overtone number and angular quantum number. An analytical approximation of the spectrum valid in the case of large values of the angular quantum number and mass is calculated. Although we don't find unstable modes in the spectrum, we show that for large values of the mass, the quasinormal modes can become very slowly damped, giving rise to quasistationary perturbations.