Geodesic Motion in the Spacetime Of a SU(2)-Colored (A)dS Black Hole in Conformal Gravity

This paper is interested to the study of the geodesic motion in the spacetime of a SU(2)-colored (A)dS black hole solving in conformal gravity. With the help of Weierstrass elliptic and Kleinian $\sigma$ functions we derive the analytical solutions for the equation of motion of test particles and light rays, and we classify the solutions of the geodesic equation according to the particle's energy and angular momentum. Also, we produce examples of possible orbit types.