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On the General-Relativistic and Covariant Form of Integration of the Helmholtz Theorem

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Abstract

The covariant and relativistic generalization of the Helmholtz integral vorticity theorems and Thomson's circulation theorem are derived.

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REFERENCES

  • H. Ertel, “Ein Theorem über asynchron-periodische Wirbelbewegungen kompressibler Flu– ssigkeiten,” Miscellanea Berloinense (Akademieverlag, Berlin, 1950), pp. 62–68.

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  • W. Schröder and H.-J. Treder, “The general-relativistic and covariant form of the first Helmholtz vorticity theorem,” Found. Phys. 30 (11), 1975–1982.

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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. On the General-Relativistic and Covariant Form of Integration of the Helmholtz Theorem. Foundations of Physics 30, 1983–1986 (2000). https://doi.org/10.1023/A:1003718623698

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  • DOI: https://doi.org/10.1023/A:1003718623698

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