Maxwell-Lorentz without self interactions: Conservation of energy and momentum

Abstract

Since a classical charged point particle radiates energy and momentum it is argued that there must be a radiation reaction force. Here we present an action for the Maxwell-Lorentz without self interactions model, where each particle only responds to the fields of the other charged particles. The corresponding stress-energy tensor automatically conserves energy and momentum in Minkowski and other appropriate spacetimes.

arXiv comment12 pages, no figures

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Cited by in corpus (4)

• Effect of interparticle fields and radiation reaction on beam dynamics
• The tensorial representation of the distributional stress-energy quadrupole and its dynamics
• Novel Signatures of Radiation Reaction in Electron-Laser Sidescattering
• On the notion of kinetic energy in a spacetime of maximal proper acceleration