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

Abstract

We study charged massless fermionic perturbations in the background of4-dimensional linear dilaton blackholes in Einstein–Maxwell–dilaton theory with double Liouville-type potentials. We present the analytical fermionicquasinormal modes, whose Dirac equations are solved in terms of hypergeometric functions. We also discuss the stabilityof these black holes under the charged fermionic perturbations.