Quasinormal modes of black holes with a scalar hair in Einstein-Maxwell-dilaton theory

TL;DR

This paper calculates the quasinormal modes of scalar perturbations in hairy black holes within Einstein-Maxwell-dilaton theory, revealing stability and how spectrum depends on black hole parameters and scalar potential.

Contribution

It provides the first detailed numerical analysis of quasinormal modes for scalar perturbations in these specific hairy black hole solutions.

Findings

All modes are stable.

Quasinormal frequencies depend on black hole charges and scalar potential.

Results are presented in tables and graphs.

Abstract

We compute the quasinormal frequencies for scalar perturbations of hairy black holes in four-dimensional Einstein-Maxwell-dilaton theory assuming a non-trivial scalar potential for the dilaton field. We investigate the impact on the spectrum of the angular degree, the overtone number, the charges of the black hole as well as the magnitude of the scalar potential. All modes are found to be stable. Our numerical results are summarized in tables, and for better visualization, we show them graphically as well.