The static charged black holes with Weyl corrections

Abstract

This study investigates static charged black holes with Weyl corrections to the Einstein-Maxwell action. By extending the classical solutions, we incorporate the influence of the Weyl tensor coupling with the electromagnetic field tensor, deriving novel black hole solutions under this framework. The characteristics of the derived spacetimes, including their geometrical structure and physical properties, are meticulously examined. Key features explored include geodesics, photon spheres, and quasinormal modes, providing insights into the stability and dynamics around such black holes. Additionally, the deflection of light and the corresponding shadow cast by these black holes are analyzed, revealing the modifications induced by Weyl corrections. This study aims to enrich the understanding of how higher-order tensor interactions can influence observable astrophysical phenomena in the vicinity of compact objects.