Quasinormal modes of charged fermions in linear dilaton black hole spacetime: Exact frequencies

TL;DR

This paper analytically computes the quasinormal modes of charged massless fermions in 4D linear dilaton black holes, demonstrating their stability under such perturbations using hypergeometric function solutions.

Contribution

It provides exact analytical expressions for fermionic quasinormal modes in linear dilaton black holes, a novel result in this context.

Findings

Exact fermionic quasinormal mode frequencies derived

Black holes shown to be stable under charged fermionic perturbations

Analytical solutions expressed in hypergeometric functions

Abstract

We study charged massless fermionic perturbations in the background of $4$-dimensional linear dilaton black holes in Einstein-Maxwell-dilaton theory with double Liouville-type potentials. We present the analytical fermionic quasinormal modes, whose Dirac equations are solved in terms of hypergeometric functions. We also discuss the stability of these black holes under the charged fermionic perturbations.