Thermodynamic and Dynamical Properties of Phantom Charged Black Holes in 4D Einstein-Gauss-Bonnet Gravity

Abstract

We present charged black hole solutions of regularized four dimensional Einstein Gauss Bonnet gravity coupled to a phantom electromagnetic field. We investigate the combined effects of higher curvature corrections and phantom charge on the horizon structure, thermodynamics, geodesic motion, and scalar perturbations. The phantom sector exhibits properties that differ qualitatively from those of the ordinary Maxwell case, including the absence of critical thermodynamic behavior and persistent thermal instability. Circular geodesics and accretion efficiency are also significantly modified. Quasinormal modes are computed using the sixth-order WKB approximation and verified through time-domain evolution. The results reveal characteristic signatures of both the Gauss Bonnet coupling and phantom electrodynamics, while confirming linear stability against scalar perturbations.