Abstract
We show that combinations of (in general,non-linear) two- and threeform fields, analogous to theMaxwell (one-form) field, completely describe perfectfluids, including the rotating ones. In the non-rotating case, the two-form field is sufficient, and afree three-form field proves to be equivalent toappearance of the cosmological term in Einstein'sequations (the square-root non-linearity correspondingto Λ = 0). The gauge degrees of freedombreak down when a rotation is included, but even whenthey exist, there fails to be realized an equivalence ofthe two-form field and the massless scalar one recently claimed by Weinberg.
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Mitskievich, N.V. Perfect Fluids: Field-theoretical Description and Gauge Symmetry Issue. General Relativity and Gravitation 31, 713–717 (1999). https://doi.org/10.1023/A:1026605430883
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DOI: https://doi.org/10.1023/A:1026605430883