Relativistic analysis of application of Helmholtz theorem to classical electrodynamics

Autor: Andrew Chubykalo, Augusto Espinoza, Rolando Alvarado-Flores
Rok vydání: 2015
Předmět:
Zdroj: JOURNAL OF ADVANCES IN PHYSICS. 7:1297-1308
ISSN: 2347-3487
DOI: 10.24297/jap.v7i1.1740
Popis: In this work we discuss the relationship between the instantaneous-action-at-a-distance solutions of Maxwell’s equations obtained using Helmholtz theorem and the Lorentz’s invariant solutions of the same equations obtained using Special Relativity postulates. We show that Special Relativity postulates are not consistent with Helmholtz’s theorem in the presence of charges and currents, but in the vacuum, without charges and currents, Helmholtz’s theorem and Special Relativity agree because the instantaneous-action-at-a-distance solutions can be eliminated using a gauge transformation.
Databáze: OpenAIRE