Analytic solutions of the geodesic equation for Einstein-Maxwell-dilaton-axion black holes

In this article we study the geodesic motion of test particles and light in the Einstein-Maxwell-dilatonaxion black hole spacetime. We derive the equations of motion and present their solutions in terms of the Weierstrass , sigma and zeta functions. With the help of parametric diagrams and effective potentials we analyze the geodesic motion and give a list of all possible orbit types.