A NEW MATHEMATICAL METHOD FOR DESCRIPTION OF DYNAMICS OF SPINNING PARTICLES IN GENERAL RELATIVITY: GRAVITOELECTROMAGNETISM

摘要

The new conception of gravitoelectromagnetism based on the Pomeransky-Khriplovich gravitoelectromagnetic fields and the Schwinger gauge is expounded and compared with the conventional one. Unlike the conventional conception, the new one is applicable for relativistic spinning particles in arbitrarily strong gravitational fields and perfectly describes the evolution of momentum and spin. This conception presents a new approach for description of dynamics of spinning particles in general relativity which applies equations of motion in an appropriate anholonomic frame. The main distinctive feature of the gravitoelectromagnetic fields is their dependence on the particle four-momentum. The simple explicit expressions for the gravitoelectromagnetic fields in the weak-field approximation allow to explain their general properties. The gravitoelectromagnetic fields are calculated for the mainly used space-times. The new conception of gravitoelectromagnetism is applied for deriving the simple expression for the Mathisson force in the weak-field approximation.