A comparative study of Dirac quasinormal modes of charged black holes in higher dimensions

TL;DR

This paper investigates the Dirac quasinormal modes of higher-dimensional charged black holes in Einstein-Gauss-Bonnet and Reissner-Nordström theories, analyzing how frequencies vary with black hole parameters and dimensions.

Contribution

It provides a comparative analysis of quasinormal modes in different gravity theories for higher-dimensional charged black holes using the WKB method.

Findings

Frequencies vary with black hole parameters and spacetime dimensions.

Large multipole number limit yields an analytic expression for frequencies.

Differences observed between Einstein-Gauss-Bonnet and Reissner-Nordström black holes.

Abstract

In this work we study the Dirac quasinormal modes of higher dimensional charged black holes. Higher dimensional Reissner-N\"{o}rdstrom type black holes as well as charged black holes in Einstein Gauss-Bonnet theories are studied for Fermionic perturbations using WKB method. A comparative study of the quasinormal modes in the two different theories of gravity has been performed. The beahviour of the frequencies with the variation of black hole parameters as well as with the variation of spacetime dimensions are done. We also study the large multipole number limit of the black hole potential in order to look for an analytic expression for the frequencies.