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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2003.07649 |
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| _version_ | 1866909613187661824 |
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| author | Andrzejewski, K. Dimakis, N. Elbistan, M. Horvathy, P. A. Kosinski, P. Zhang, P. -M. |
| author_facet | Andrzejewski, K. Dimakis, N. Elbistan, M. Horvathy, P. A. Kosinski, P. Zhang, P. -M. |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_07649 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields Andrzejewski, K. Dimakis, N. Elbistan, M. Horvathy, P. A. Kosinski, P. Zhang, P. -M. General Relativity and Quantum Cosmology 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. |
| title | Conformal symmetries and integrals of the motion in pp waves with external electromagnetic fields |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2003.07649 |