Object picture, quasinormal modes and late time tails of fermion perturbations in stringy black hole with U(1) charges

TL;DR

This paper investigates massless fermion perturbations in five-dimensional stringy black holes with U(1) charges, analyzing quasinormal modes, late-time tails, and stability through numerical and semi-analytical methods.

Contribution

It provides the first detailed analysis of fermion quasinormal modes and late-time decay in higher-dimensional stringy black holes with U(1) charges, including stability assessment.

Findings

Quasinormal frequencies depend on U(1) charges.

Fermion perturbations decay with power-law tails.

Black holes are stable under fermion perturbations.

Abstract

The aim of the present report is to study massless fermion perturbations outside five-dimensional stringy black holes with U(1) charges. The Dirac equation was numerically solved to obtain the time profiles for the evolving fermion fields, and the quasinormal frequencies at intermediate times are computed by numerical Prony fitting and semianalytical WKB expansion at sixth order. We also computed numerically the late-time power law decay factors, showing that there are in correspondence with previously reported results for the case of boson fields in higher dimensional odd space-times. The dependence of quasinormal frequencies with U(1) compactification charges are studied, and the stability of this class of higher dimensional black holes under fermion perturbations is established.