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

Gratus, Jonathan (2022) Maxwell-Lorentz without self-interactions : Conservation of energy and momentum. Journal of Physics A: Mathematical and General, 55 (6): 065202. ISSN 0305-4470

Text (ML-SI: 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.