Abstract
The general form of the Lagrangian equations of motion is derived for a spinning particle having arbitrary multipole structure in arbitrary external fields. It is then shown how these equations, together with the complete system of field equations can be recovered from a fourdimensional action integral representing a polarized dustlike medium interacting with an arbitrary set of fields. These general results are then specialized to the case of Einstein-Maxwell fields in order to obtain the general-relativistic extension of Lorentz's dielectric theory.
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Communicated by J. Ehlers
Work partially supported by the National Research Council of Canada.
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Bailey, I., Israel, W. Lagrangian dynamics of spinning particles and polarized media in general relativity. Commun.Math. Phys. 42, 65–82 (1975). https://doi.org/10.1007/BF01609434
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DOI: https://doi.org/10.1007/BF01609434