Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma

Abstract We calculate the exact solutions to equations of motion that govern light ray trajectories as they travel in a Kerr black hole’s exterior is considered be filled with an inhomogeneous and anisotropic plasmic medium. This approached by characterizing plasma through conceiving radial angular structure function, which are let constant. The description carried out using Hamilton–Jacobi method, allows defining two effective potentials, evolution polar coordinates. elliptic integrals then solved analytically, coordinates expressed terms Mino time. way, three-dimensional demonstrations given respectively.