Maxwell Field of a Charge in Hyperbolic Motion

Author:

Serrano Montesinos Ramón1ORCID,Morales-Lladosa Juan Antonio12ORCID

Affiliation:

1. Departament d’Atronomia i Astrofísica, Universitat de València, 46100 Burjassot, Spain

2. Observatori Astronòmic, Universitat de València, 46980 Paterna, Spain

Abstract

We conduct a detailed study of the electromagnetic field produced by a massive point particle undergoing hyperbolic (uniformly accelerated) motion in Minkowski space-time. Starting from the Liénard–Wiechert solution and using a covariant notation, we obtain and analyse the main quantities that describe this field. We identify the space-time region to which this solution is restricted and write a solution valid in the whole of space-time. Finally, we verify that this solution satisfies Maxwell’s equations in the sense of distributions.

Funder

Spanish Ministerio de Ciencia, Innovación y Universidades Project

Publisher

MDPI AG

Subject

General Physics and Astronomy

Reference17 articles.

1. Champ électrique et magnétique produit par une charge électrique concentrée en un point et animée d’un mouvement quelconque;L’Éclairage Électrique,1898

2. Elektrodynamische Elementargesetze;Wiechert;Ann. Phys.,1901

3. Die Theorie des starren Elektrons in der Kinematik des Relativitätsprinzips;Born;Ann. Phys.,1909

4. Schott, G.A. (1912). Electromagnetic Radiation and the Mechanical Reactions Arising from It, Cambridge University Press.

5. Radiation from a uniformly accelerated charge;Drukey;Phys. Rev.,1949

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