Electromagnetic Quasinormal modes of Dyonic AdS black holes with quasi-topological electromagnetism in a Horndeski gravity theory mimicking EGB gravity at $D \rightarrow 4$

We investigate some properties of a black hole in a Horndeski gravity theory mimicking Einstein-Gauss-Bonnet (EGB) gravity at $D \rightarrow 4$. Borrowing ideas from quasitopological gravities provide a matter source of dyonic fields, in which the black hole solution carries two charges, electric and magnetic, in the context of the EGB gravity. However, due to several limitations of the EGB gravity in $D \rightarrow 4$, we consider a Horndeski gravity theory which can mimic EGB gravity in $D \rightarrow 4$. The essential practice used in this paper is the electromagnetic quasinormal modes process, with the goal of discovering the spectrum of such an electromagnetic perturbation over the black hole spacetime. The Wentzel-Kramer-Brillouin (WKB) approximation is used to achieve the desired results. The study shows that both the charges have similar impacts on the quasinormal modes.