Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields
General Relativity and Quantum Cosmology
2025-05-20 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2003.07649,
title = {Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields},
author = {K. Andrzejewski and N. Dimakis and M. Elbistan and P. A. Horvathy and P. Kosinski and P. -M. Zhang},
journal= {arXiv preprint arXiv:2003.07649},
year = {2025}
}
Comments
affiliation corrected