Quasinormal modes of a dyonic black hole in Einstein–Euler–Heisenberg theory

In this study, we investigate the quasinormal modes of a non-rotating dyonic black hole within the framework of Einstein–Euler–Heisenberg theory. We present a detailed analysis focuses on understanding the influence of dyonic charges on the oscillatory properties of these BHs. The quasinormal modes are calculated to explore the interplay between the dyonic charge and the characteristic frequencies of perturbations. The results are then systematically compared with those of black holes possessing purely electric or purely magnetic charges in the Einstein–Euler–Heisenberg framework. This comparison highlights the unique signatures and dynamic behavior introduced by the presence of dyonic charges, offering deeper insights into the properties of black holes in nonlinear electrodynamics theories.