The motion of spinning particles in the spacetime of a black hole with a cosmic string topological defect

The geodesic motion of pseudo-classical spinning particles in the spacetime of a black hole with the topological defect of a cosmic string, is analyzed. The constants of motion are derived in terms of solving the generalized killing equations for spinning space. The bound state orbits in a plane are discussed. Our results are permitted to be regarded as a semiclassical approximation to the quantum Dirac theory which holds to first order in the spin. The existence of the cosmic string factor b distinguishes the case from the one in Schwarzschild spacetime. When one chooses b = 1, our results reduce to the case of the Schwarzschild spacetime. (authors)