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Bibliographic Details
Main Authors: Andrzejewski, K., Dimakis, N., Elbistan, M., Horvathy, P. A., Kosinski, P., Zhang, P. -M.
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2003.07649
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Table of Contents:
  • The integrals of the motion associated with conformal Killing vectors of a curved space-time with an additional electromagnetic background are studied for massive particles. They involve a new term which might be non-local. The difficulty disappears for pp-waves, for which explicit, local conserved charges are found. Alternatively, the mass can be taken into account by "distorting" the conformal Killing vectors. The relation of these non-point symmetries to the charges is analysed both in the Lagrangian and Hamiltonian approaches, as well as in the framework of Eisenhart-Duval lift.