Self-force of a rigid ideal fluid, and a charged sphere in hyperbolic motion

Abstract

We present two results in the treatment of self-force of accelerating bodies. If the total force on an extended rigid object is calculated from the change of momentum summed over planes of simultaneity of successive rest frames, then we show that an ideal fluid, moving rigidly, exerts no net force on its boundary. Under this same definition of total force, we find the electromagnetic self-force for a spherical charged shell of proper radius R accelerating with constant proper acceleration g is (2 e^2 g/R)[ 1/12 - \sum_{n=0}^\infinity (g R)^{2n} ((2n-3)(2n-1)(2n+1)^2)^{-1} ].

5 pages

References in corpus (5)

• A Rigorous Derivation of Electromagnetic Self-force
• Aspects of electromagnetic radiation reaction in strong fields
• Reduced-order Abraham-Lorentz-Dirac equation and the consistency of classical electromagnetism
• The fields and self-force of a constantly accelerating spherical shell
• The non-existence of the self-accelerating dipole, and related questions

Cited by in corpus (4)

• Radiation reaction and the acceleration-dependent mass increase of a charged sphere undergoing uniform acceleration
• Self-force on a charged particle in an external scalar field
• Electromagnetic self-force for axially symmetric charge on a spherical shell
• Dynamics of spherical distributions of charge with small internal dipolar motion