Eur. Phys. J. Plus (2019) 134: 300
https://doi.org/10.1140/epjp/i2019-12686-x

Regular Article

Quasinormal modes of regular black holes with non-linear electrodynamical sources

¹ Centro de Astrofísica e Gravitação, Departamento de Física, Instituto Superior Técnico-IST, Universidade de Lisboa-UL, Av. Rovisco Pais, 1049-001, Lisboa, Portugal
² Instituto de Física, Pontificia Universidad Católica de Valparaíso, Avenida Brasil 2950, Casilla, 4059, Valparaíso, Chile

^* e-mail: angel.rincon@pucv.cl

Received: 19 December 2018
Accepted: 21 April 2019
Published online: 27 June 2019

Abstract

We compute the spectrum of quasinormal frequencies of regular black holes obtained in the presence of non-linear electrodynamics. In particular, we perturb the black hole with a minimally coupled massive scalar field, and we study the corresponding perturbations adopting the 6th-order WKB approximation. We analyze in detail the impact on the spectrum of the charge of the black hole, the quantum number of angular momentum and the overtone number. All modes are found to be stable. Finally, a comparison with other charged black holes is made, and an analytical expression for the quasinormal spectrum in the eikonal limit is provided.