Relativistic analysis of application of Helmholtz theorem to classical electrodynamics

Authors

  • Andrew Chubykalo Unidad Academica de Fisica, Universidad Autonoma de Zacatecas, A.P. C-580, Zacatecaz, Mexico
  • R. Alvarado-Flores Centro de Estudios Multidisciplinarios, Universidad Autonoma de Zacatecas, Mexico
  • A. Espinoza Unidad Academica de Fisica, Universidad Autonoma de Zacatecas, A.P. C-580, Zacatecaz, Mexico

DOI:

https://doi.org/10.24297/jap.v7i1.1740

Keywords:

Helmholtz theorem, Lorentz gauge, space-time theories.

Abstract

In this work we discuss the relationship between the instantaneous-action-at-a-distance solutions of Maxwells equations obtained using Helmholtz theorem and the Lorentzs invariant solutions of the same equations obtained using Special Relativity postulates. We show that Special Relativity postulates are not consistent with Helmholtzs theorem in the presence of charges and currents, but in the vacuum, without charges and currents, Helmholtzs theorem and Special Relativity agree because the instantaneous-action-at-a-distance solutions can be eliminated using a gauge transformation.

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Published

2014-12-23

How to Cite

Chubykalo, A., Alvarado-Flores, R., & Espinoza, A. (2014). Relativistic analysis of application of Helmholtz theorem to classical electrodynamics. JOURNAL OF ADVANCES IN PHYSICS, 7(1), 1297–1308. https://doi.org/10.24297/jap.v7i1.1740

Issue

Vol. 7 No. 1

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.