Shadow behaviors of rotating Ayón–Beato–García black holes in four-dimensional Einstein Gauss–Bonnet gravity

By applying the Newman–Janis Algorithm, we investigate optical behaviors of rotating Ayón–Beato–García black holes in four-dimensional Einstein Gauss–Bonnet Gravity. Exploiting the Hamilton–Jacobi mechanism, we first obtain the needed null geodesic equations of motion. We then provide analytic and numerical methods to study the associated optical aspect for certain regions of the involved moduli space. Concretely, we analyze and examine the shadow behaviors in terms of one-dimensional real closed curves. Particularly, we find various shapes including the D-ones. After that, we study graphically the corresponding astronomical observables. We compute and discuss the energy emission rate. We observe that the rotating parameter and the Gauss–Bonnet coupling have a relevant influence on the shadow geometric configurations and the energy emission rate. Moreover, we find that the nonlinear electrodynamic charge does not affect such optical behaviors. Finally, we provide a possible link with the event horizon telescope activities by imposing certain conditions on the involved black hole parameters in the [Formula: see text] imaging aspect.

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