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Journal Articles Annals Phys. Year : 2020

Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields

N. Dimakis
  • Function : Author
K. Andrzejewski
  • Function : Author
P. Kosínski
  • Function : Author
P.M. Zhang
  • Function : Author

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.

Dates and versions

hal-02542809 , version 1 (14-04-2020)

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M. Elbistan, N. Dimakis, K. Andrzejewski, P.A. Horvathy, P. Kosínski, et al.. Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields. Annals Phys., 2020, 418, pp.168180. ⟨10.1016/j.aop.2020.168180⟩. ⟨hal-02542809⟩
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