Abstract

AbstractWe construct the energy‐momentum tensor of a pole‐dipole‐like mass distribution in a RIEMANNian space‐time and derive the appropriate equations of motion, the manifest covariance being achieved by means of the bilocal vector of geodetic parallel displacement. In a theory with a second flat background metric the equations of motion are also formulated covariantly in terms of surface integrals. The paper concludes with a brief discussion of the equations of motion of the spin particle.

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