The easiest way to Heaviside ellipsoid
arXiv:physics/0008225 · doi:10.1119/1.1484146
Abstract
The formula for the electric field of a point charge moving with constant velocity is derived using the symmetry properties of Maxwell's equations - its Lorentz invariance. In contrast to conventional treatments, the derivation presented does not use retarded integrals or relativity transformations.
5 pages