Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics

TL;DR

This paper investigates how nonlinear electrodynamics modifies the quasinormal modes of charged black holes, revealing violations of isospectrality and quantifying the effects of nonlinear corrections on oscillation and damping.

Contribution

It introduces a general framework for analyzing quasinormal modes in nonlinear electrodynamics and computes specific corrections for Euler-Heisenberg and Born-Infeld theories.

Findings

Nonlinear electrodynamics breaks isospectrality of quasinormal modes.

Nonlinear effects lengthen oscillation periods.

Nonlinear effects increase damping rates.

Abstract

We study quasinormal modes related to gravitational and electromagnetic perturbations of spherically symmetric charged black holes in nonlinear electrodynamics. Beyond the linear Maxwell electrodynamics, we consider a class of Lagrangian with higher-order corrections written by the electromagnetic field strength and its Hodge dual with arbitrary coefficients, and we parametrize the corrections for quasinormal frequencies in terms of the coefficients. It is confirmed that the isospectrality of quasinormal modes under parity is generally violated due to nonlinear electrodynamics. As applications, the corrections for quasinormal frequencies in Euler-Heisenberg and Born-Infeld electrodynamics are calculated, then it is clarified that the nonlinear effects act to lengthen the oscillation period and enhance the damping rate of the quasinormal modes.