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

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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. Hence there is no need for any radiation reaction.


Publication:

Journal of Physics A Mathematical General

Pub Date:
February 2022
DOI:

10.1088/1751-8121/ac48ee

10.48550/arXiv.2108.08644

arXiv:
arXiv:2108.08644
Bibcode:
2022JPhA...55f5202G
Keywords:
  • conservation of energy;
  • stress energy tensor;
  • radiation reaction;
  • conservation of momentum;
  • Lagragian;
  • Scharwtz distributions;
  • electrodynamics;
  • Physics - Classical Physics;
  • 83C50;
  • 70H40;
  • 78A99
E-Print:
12 pages, no figures