The correspondence between shadow and test field in a four-dimensional charged Einstein–Gauss–Bonnet black hole

Abstract In this paper, we investigate the photon sphere, shadow radius and quasinormal modes of a four-dimensional charged Einstein–Gauss–Bonnet black hole. The perturbation massless scalar field in hole’s background is adopted. are gotten by 6th order WKB approximation approach radius, respectively. When value Gauss–Bonnet coupling constant increase, values real parts increase those imaginary decrease. coincidence degrees derived two approaches increases with multipole number. It shows correspondence between test Einstein–Gauss–Bonnet–Maxwell gravity. radii sphere decrease constant.