Symmetry properties of the motion of charged bodies in general relativity
Abstract
This article proposes a groupinvariant approach to the study of the motion of charged test bodies in spacetime manifolds, which consists of studying the symmetry properties of spacetime and electromagnetic fields represented by continuous transformation groups which preserve the invariant structure of the equation of motion. The following aspects of the proposed approach are considered. The defining transformation equations are found in the class of point transformations x^{i}=^{i} + δtξ_{i}(x), which preserve the invariance of the Lorentz force, and transformations perserving the invariance of the entire class of charge trajectories. The obtained results are specified for the EinsteinMaxwell electrovacuum spaces.
 Publication:

Soviet Physics Journal
 Pub Date:
 April 1982
 DOI:
 10.1007/BF00906215
 Bibcode:
 1982SvPhJ..25..369M