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

Foundations of Physics 30 (11):1975-1982 (2000)
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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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