Shadow, deflection angle and quasinormal modes of Born-Infeld charged black holes

Abstract In this paper, we consider black holes in the consistent Aoki-Gorji-Mukohyama theory of four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity presence Born-Infeld (BI) nonlinear electrodynamics. We study several optical features these such as shadow radius, energy emission rate and deflection angle, analyse effect coupling constants, electric charge cosmological constant on considered quantities. Furthermore, also employ connection between radius quasinormal modes (QNMs) investigate small scalar perturbations around hole solution. show that variation parameters provide specific signatures BI charged solution, thus leading to possibility directly testing 4D EGB model by using astrophysical observations.