Geodesic
Description of the electromagnetic interaction of relativistic particles by means of a~universal laboratory time
Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 1, pp. 53-63

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For a system of arbitrarily fast charged particles, equations of motion are obtained in Lagrangian form that do not contain field variables and use a universal laboratory time for all the particles. The example of a two-body system shows that the equations of motion contain terms describing an advanced interaction, although the Lagrange function of the system contains only retarded potentials. 
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     author = {A. N. Gordeyev},
     title = {Description of the electromagnetic interaction of relativistic particles by means of a~universal laboratory time},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
     year = {1978},
     language = {ru},
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}
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A. N. Gordeyev. Description of the electromagnetic interaction of relativistic particles by means of a~universal laboratory time. Teoretičeskaâ i matematičeskaâ fizika, Tome 36 (1978) no. 1, pp. 53-63. http://geodesic.mathdoc.fr/item/TMF_1978_36_1_a4/