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

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

Automated summary

This paper investigates black holes in the consistent Aoki-Gorji-Mukohyama theory of 4D EGB gravity with Born-Infeld nonlinear electrodynamics. It examines optical features such as shadow radius, energy emission rate, and deflection angle, showing that variations in theory parameters have specific effects on optical features of the black hole solution, and this model can be tested through astrophysical observations.