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Mechanics of Cosserat media: II. relativistic theory (1510.01243v1)

Published 5 Oct 2015 in math-ph, gr-qc, and math.MP

Abstract: The derivation of the non-relativistic Cosserat equations that was described in Part I of this series of papers is extended from the group of rigid motions in three-dimensional Euclidian space to the Poincar\'e group of four-dimensional Minkowski space. Examples of relativistic Cosserat media are then given in the form of the free Dirac electron and the Weyssenhoff fluid.

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