Aa. Borgardt et Dy. Karpenko, THE NEW APPROACH TO PRINCIPAL PROBLEMS OF THE CLASSICAL ELECTRODYNAMICS, UKRAINSKII FIZICHESKII ZHURNAL, 39(5-6), 1994, pp. 556-563
For determining electromagnetic fields in vacuo, created by the point
sources, Riemann's method is applied. It made possible to receive the
new Coulomb solution as well as to find the solution missed in the ele
ctrodynamics based on Kirchoff's formula. The talk is about the field
created by a ultrarelativistic point source which is moving with the v
elocity equal to v = c - 0. In the only case when the source is locali
zed and retarted (or advanced) Kirchoff's formula coincides with Riema
nn's one.