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Relativistische Bewegungsprobleme. V Zur allgemein‐relativistischen Dynamik klassischer Spinteilchen
Author(s) -
Westpfahl K.
Publication year - 1969
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19694770705
Subject(s) - physics , mathematical physics , equations of motion , tensor (intrinsic definition) , motion (physics) , classical mechanics , metric (unit) , mathematics , pure mathematics , operations management , economics
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.