Shadow of rotating charged black hole with Weyl corrections

Abstract: We construct theoretical investigation of the black hole shadow for rotating charged black hole in an asymptotically flat, axisymmetric, and stationary spacetime with Weyl corrections. This spacetime is characterized by mass ($M$), charge parameter ($q$), rotation parameter ($a$), and Weyl coupling constant ($\alpha$). We derive photon geodesics around the black hole and compute expressions for impact parameters with the help of photon spherical orbits conditions. We show how the presence of coupling constant $\alpha$ affects the shapes of black hole shadow from the usual Kerr-Newman black hole. A comparison with the standard Kerr and Kerr-Newman black hole is also include to observe the potential deviation from them. We find that the radius of black hole shadow decreases and the distortion in the shape of shadow increases with an increase in charge $q$ for both positive and negative values of coupling constant $\alpha$. We further extend our study by considering the plasma environment around the black hole and find out the essential expressions for the black hole shadow.