The main purpose of the present paper is to obtain an existence-uniqueness of periodic solution of the black body oscillator equation. Here we replace the classical radiation term by the relativistic form of the Dirac’s radiation term proposed in a previous our paper. We use an operator presentation of the periodic problem and by means of a fixed point method we prove an existence-uniqueness of periodic solution. As a consequence, we show that Ehrenfest paradox does exist within classical physics but not in relativistic physics.
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