CONICET | Buscador de Institutos y Recursos Humanos

We provide new very simple and compact expressions for the efficient calculation ofgravitational lens optical scalars for Kerr space?time, which are exact along any null geodesic.These new results are obtained recurring to well-known results on geodesic motion that exploitobvious and hidden symmetries of Kerr space?time and contrast with the rather long andcumbersome expressions previously reported in the literature, providing a helpful improvementfor the sake of an efficient integration of the geodesic deviation equation on Kerr geometry.We also introduce a prescription for the observer frame that captures a new notion of centreof the black hole, which can be used for any position of the observer, including those near theblack hole. We compare the efficient calculation of weak lens optical scalars with the exactequations, finding an excellent agreement.