The Fields of a Charged Particle in Hyperbolic Motion

Abstract

A particle in hyperbolic motion produces electric fields that appear to terminate in mid-air, violating Gauss's law. The resolution to this paradox has been known for sixty years, but exactly why the naive approach fails is not so clear.

arXiv commentTo appear, American Journal of Physics

References in corpus (2)

• Electromagnetic fields of a massless particle and the eikonal
• Light bending by a Coulomb field and the Aichelburg-Sexl ultraboost

Cited by in corpus (5)

• Completing the Liénard-Wiechert potentials: The origin of the delta function fields for a charged particle in hyperbolic motion
• Radiation reaction and the acceleration-dependent mass increase of a charged sphere undergoing uniform acceleration
• A discontinuity in the electromagnetic field of a uniformly accelerated charge
• Electric charge in hyperbolic motion: The early history and other geometrical aspects
• Students' confusions about the electric field of a uniformly moving charge