Electromagnetic fields with symmetry. II
DOI:
https://doi.org/10.31349/RevMexFisE.23.020215Keywords:
Electromagnetic fields; symmetries; constants of motion; relativistic mechanics; Lorentz transformationsAbstract
We show that in the framework of special or general relativity, the invariance of an electromagnetic field (with or without sources) under a one-parameter family of space-time transformations leads to a constant of motion for a charged test particle if the transformations also leave the space-time metric invariant. We also show that if the electromagnetic field and the space-time metric are invariant under a one-parameter family of space-time transformations, then one can find four-potentials that are also invariant under this family of transformations.
Downloads
References
G.F. Torres del Castillo, Electromagnetic fields with symmetry, Rev. Mex. Fís. E 21 (2024) 020201. https://doi.org/10.31349/RevMexFisE.21.020201.
H. Stephani, Relativity, An Introduction to Special and General Relativity, 3rd ed. (Cambridge University Press, Cambridge, 2004).
B.F. Schutz, Geometrical Methods of Mathematical Physics, (Cambridge University Press, Cambridge, 1982). https://doi.org/10.1017/CBO9781139171540.
G.F. Torres del Castillo, Differentiable Manifolds, A Theoretical Physics Approach, 2nd ed. (Springer, Cham, 2020). https://doi.org/10.1007/978-3-030-45193-6.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Gerardo Francisco Torres del Castillo
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
