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

Abstract

We compute the quasinormal frequencies for scalar perturbations of hairy black holes in fourdimensional 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.

Greybody factor and quasinormal modes of Regular Black Holes

“…Even more, such frequencies depend on i) the geometry and ii) the type of perturbations [25]. Along the years, the study of QNM becomes more essential than ever, and certain seminal works have been performed up to now, for instance see [26][27][28] and more recent works [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43].…”

Quasinormal modes of massive scalar fields in four-dimensional wormholes: Anomalous decay rate

“…The above discussion indicates that the knowledge of QNMs and quasinormal frequencies (QNFs) are very important to understand the properties of compact objects and distinguish their nature. The QNMs give an infinite discrete spectrum which consists of complex frequencies, ω ¼ ω R þ iω I , where the real part ω R determines the oscillation timescale of the modes, while the complex part ω I determines their exponential decaying timescale (for a review on QNM modes see [7,8] and for recent solutions see [33][34][35][36][37][38][39]).…”

Construction of a traversable wormhole from a suitable embedding function

“…The response of a wormhole to perturbations is dominated by damped oscillations called quasi-normal modes. The computation of the QNM modes can be performed through a variety of methods (for an incomplete list see [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] and references therein, for example). However, in this work, we shall use the recently developed WKB approximation to the 13th order which has brought the attention of the community [43].…”