Classical Physics

    

On Completeness of One Analytical Solution in Electrodynamics

Authors: Zafar Turakulov

An analytical solution of the equation $\dif\,{}^\ast\dif\alpha=0$ where the 1-form $\alpha$ stands for ``vector potential'' of electromagnetic field of uniformly accelerated charge presented in the work \cite{jgp}, was obtained in an incomplete coordinate system. Incompleteness of the system used gives rise to doubts about correctness of the solution because of possible presence of extra sources of the filed beyond the chart of the covered by coordinates. A rigorous criterion of existence or non-existence of extra sources of this sort is proposed which was appliel to the solution. As a result, it is found that no extra sources beyond the chart exist and hence, the solution describes the field on uniformly accelerated charge properly. However, this fact discloses another discrepancy in foundations of the field theory.

Comments: 5 Pages.

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Submission history

[v1] 2021-07-28 14:51:23

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