Quasi-normal modes of an Einstein-Gauss-Bonnet black hole surrounded by quintessence: scalar and electromagnetic perturbations

In this work, we study the quasi-normal modes for scalar and electromagnetic perturbations for an Einstein-Gauss-Bonnet black hole surrounded by quintessence using the third-order WKB method and the Eikonal limit. First, the critical values of the Gauss-Bonnet coupling constant and the normalization factor related to the quintessence are established, to describe the event horizons of the solution. We have studied the condition of extreme horizons and the quasi-normal modes are performed by setting the quintessence state parameter in the particular case of omega, = -2/3