Geodesic motion in the spacetime of a (2 + 1) D black hole conformally coupled to a massless scalar

In this paper, we consider a (2+1) D black hole conformally coupled to a massless scalar. Then the geodesic motion of test particles and light rays in the vicinity of the spacetime of this black hole is studied. Moreover, the geodesic equations are solved analytically according to Weierstrass elliptic and derivatives of Kleinian sigma hyperelliptic functions. Also, the possible orbits are discussed and classified according to the particle’s energy and angular momentum.