Ringing of the Extreme Regular Black Holes

TL;DR

This paper studies the quasinormal ringing of extreme regular black holes with de Sitter and Minkowski cores, providing numerical and analytical insights into their perturbation spectra and mode-geodesic correspondence.

Contribution

It presents the first detailed analysis of quasinormal modes for extreme regular black holes within a non-linear electrodynamics framework, including analytical expressions in the eikonal limit.

Findings

Excellent agreement between numerical methods for quasinormal frequencies

Derived analytical expression for eikonal quasinormal modes

Discussion on the mode-geodesic correspondence validity

Abstract

We investigate quasinormal ringing in both time and frequency domains for scalar and neutrino perturbations around black hole solutions that simultaneously describe regular and extreme configurations within a non-linear electrodynamics framework. Two types of solutions are considered: those with de Sitter and Minkowski cores. The quasinormal frequencies obtained from two independent methods exhibit excellent agreement. Furthermore, we derive an analytical expression in the eikonal limit and discuss the validity of the correspondence between eikonal quasinormal modes and null geodesics.