Relativistische Bewegungsprobleme. V Zur allgemein-relativistischen Dynamik klassischer Spinteilchen


  • Dem Andenken an meinen verehrten Lehrer G. HETTNER gewidmet.


We 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.