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The General-Relativistic and Covariant Form of the First Helmholtz Vorticity Theorem

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Abstract

The general relativistic and covariant differential form of Helmholtz's first vorticity theorem is presented. We prove in relation with it an invariant kinematic identity which is the generalisation of the Helmholtz theorem for general continua.

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Authors and Affiliations

  1. Hechelstrasse 8, D-28777, Bremen, Germany

    Wilfried Schröder

  2. Rosa-Luxemburg-Strasse 17a, D-14482, Potsdam, Germany

    Hans-Jürgen Treder

Authors
  1. Wilfried Schröder
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  2. Hans-Jürgen Treder
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Schröder, W., Treder, HJ. The General-Relativistic and Covariant Form of the First Helmholtz Vorticity Theorem. Foundations of Physics 30, 1975–1982 (2000). https://doi.org/10.1023/A:1003766506860

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  • DOI: https://doi.org/10.1023/A:1003766506860

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