Quasinormal modes of nonlinear electromagnetic black holes from unstable null geodesics

Abstract

The expressions for the quasinormal modes (QNMs) of black holes with nonlinear electrodynamics, calculated in the eikonal approximation, are presented. In the eikonal limit QNMs of black holes are determined by the parameters of the circular null geodesics. The unstable circular null orbits are derived from the effective metric that is the one obeyed by light rays under the influence of a nonlinear electromagnetic field. As an illustration we calculate the QNMs of four nonlinear electromagnetic black holes, two singular and two regular, namely from Euler-Heisenberg and Born-Infeld theories, for singular, and the magnetic Bardeen black hole and the one derived by Bronnikov for regular ones. Comparison is shown with the QNMs of the linear electromagnetic counterpart, their Reissner-Nordström black hole.

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• Quasinormal modes, shadow and thermodynamics of black holes coupled with nonlinear electrodynamics and cloud of strings
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Redshift of light emitted by particles orbiting a black hole immersed in a strong magnetic field
• Electroweak monopoles with a non-linearly realized weak hypercharge
• Frequency Shifts of photons emitted from geodesics of nonlinear electromagnetic black holes
• Scattering and absorption sections of nonlinear electromagnetic black holes