Interaction of String with the Particle in Curved Spacetime

Abstract:
Within the framework of generalized Papapetrou method, we derive the effective equations of motion for a string with two particles attached at the ends, along with appropriate boundary conditions. The equations of motion are the usual Nambu-Goto-like equations, while boundary conditions turn out to be equations of motion for the particles at the string ends. The form of those equations is discussed, with the emphasis on the force that the string exerts on the particle. It turns out that this force has some formal similarity with the Lorentz force law of electrodynamics.