Electric Field of a point charge moving 90% the speed of light at its fastest point (All relativistic effects are accounted for)pic.twitter.com/B59QOTtCar
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well the scalar potential of a relativistically moving charge is indeed a well defined potential, this is how i colored the contour plot. However, they are only equipotentials if E = -grad(φ), which is generally not true in elec. dynamics https://en.wikipedia.org/wiki/Li%C3%A9nard%E2%80%93Wiechert_potential …
so perhaps i was a bit sloppy with my terminology, however, they do correspond to lines of equal φ although that isn't technically a potential
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Thanks for replying. But I humbly disagree. The Wikipedia calculation is in a certain choice of gauge i.e. Lorenz gauge. A different choice of gauge would yield a different $\phi$. E.g. $\phi=0$ in Coulomb gauge. In fact, $\phi$ can be chosen to be any function of spacetime ..1/n
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... by making a suitable gauge transformation. Since the choice of gauge doesn't change Physics, the real physical quantities of interest are the ones which do not change under gauge transformations. One such quantity is the energy density. But that aside, I wish to say ... 2/n
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