The fields and self-force of a constantly accelerating spherical shell

Abstract

We present a partial differential equation describing the electromagnetic potentials around a charge distribution undergoing rigid motion at constant proper acceleration, and obtain a set of solutions to this equation. These solutions are used to find the self-force exactly in a chosen case. The electromagnetic self-force for a spherical shell of charge of proper radius $R$ undergoing rigid motion at constant proper acceleration $a_0$ is, to high order approximation, $(2e^2{a}_0/R){\sum }_{n=0}^{\infty }(a_{0}R{)}^{2n}((2n-1)(2n+1{)}^2(2n+3){)}^{-1}$, and this is conjectured to be exact.

18 pages; 3 figures, submitted to Proc Roy Soc Lond A

References in corpus (1)

• A Rigorous Derivation of Electromagnetic Self-force

Cited by in corpus (5)

• Reduced-order Abraham-Lorentz-Dirac equation and the consistency of classical electromagnetism
• Self-force of a rigid ideal fluid, and a charged sphere in hyperbolic motion
• The non-existence of the self-accelerating dipole, and related questions
• Electromagnetic radiation and the self field of a spherical dipole oscillator
• Electromagnetic self-force for axially symmetric charge on a spherical shell