Abstract
Working within the scheme of the Einstein-Cartan-Sciama-Kibble Theory (ECSK) we find the trajectory of the photon up to its third order with respect to the velocity of slow motion sources. For the general case, discrepancies from the predictions of General Relativity (GR) are found. We apply the results to a model of polarized spin and find that in this particular case ECSK and GR theories coincide. We also perform a multipole expansion of the gravitational potentials in order to find the motion of photons far away from localized sources.
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