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.. distinguishes the case from the one in Schwarzschild spacetime. When one chooses b = 1, our results reduce to the case of the Schwarzschild spacetime.