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Article Dans Une Revue Annals Phys. Année : 2020

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

N. Dimakis
  • Fonction : Auteur
K. Andrzejewski
  • Fonction : Auteur
P. Kosínski
  • Fonction : Auteur
P.M. Zhang
  • Fonction : Auteur

Résumé

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 et versions

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

Identifiants

Citer

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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