Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics

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.

Automated summary

The study focuses on quasinormal modes related to gravitational and electromagnetic perturbations of spherically symmetric charged black holes in nonlinear electrodynamics. It explores a class of Lagrangian with higher-order corrections beyond linear Maxwell electrodynamics, and parametrizes the corrections for quasinormal frequencies in terms of coefficients. The research confirms that under parity, isospectrality of quasinormal modes is generally violated due to nonlinear electrodynamics, and nonlinear effects serve to lengthen oscillation period and enhance damping rate of the quasinormal modes, as shown in the calculations for Euler-Heisenberg and Born-Infeld electrodynamics.