Spinning Particles in Curved Spacetime of General Relativity

Abstract

In Introduction we give a brief account of our work of studying spinning particles in curved spacetime of General Relativity. In Chapter I we discuss the relevant equations for the motion of spinning particles in curved spacetime. We present the generalized Killing equations for spinning space and describe the constants of motion. In Chapter II we derive the constants and the equations of motion for spinning particles moving in the Schwarzschild spacetime. We discuss various types of orbits and describe exact solutions in a plane. In Chapter III we extend the work of Chapter II in the Reissner-Nordstrom spacetime, which is the Schwarzschild spacetime generalized with a charged parameter and then further extend this work in the Reissner-Nordstrom spacetime generalized with a NUT (or magnetic mass) parameter. In the Reissner-Nordstrom spacetime we investigate the motion of spinning particles on a plane for bound state orbits, while in the NUT-Reissner-Nordstrom spacetime we analyze the motion on a cone and on a plane……….