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We consider the relativistic Vlasov-Maxwell and Vlasov-Nordstr\"om systemswhich describe large particle ensembles interacting by either electromagneticfields or a relativistic scalar gravity model. For both systems we derive aradiation formula analogous to the Einstein quadrupole formula in generalrelativity.Comment: 21 page

Multipole Radiation in a Collisionless Gas Coupled to Electromagnetism or Scalar Gravitation