P. Hillion, ELECTRIC AND MAGNETIC POTENTIALS OF UNIFORMLY ACCELERATED CHARGE-DISTRIBUTIONS, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 52(12), 1997, pp. 843-848
Jefimenko gave recently [1] new expressions for the electric and magne
tic potentials of uniformly moving, time-independent charge distributi
ons. We discuss these potentials for uniformly accelerated distributio
ns. As Jefimenko did, we implement two procedures either converting di
rectly retarded into present position integrals or using relativistic
transformations for a stationary charge in an instantaneous comoving i
nertial frame (Frenet-Serret tetrad). We discuss why, at the differenc
e of what happens for uniform motions [1], both procedures provide dif
ferent expressions for potentials.