Perfect Fluids: Field-theoretical Description and Gauge Symmetry Issue

摘要

We show that combinations of (in general, non-linear) two- and three-form fields, analogous to the Maxwell (one-form) field, completely describe perfect fluids, including the rotating ones. In the non-rotating case, the two-form field is sufficient, and a free three-form field proves to be equivalent to appearance of the cosmological term in Einstein's equations (the square-root non-linearity corresponding to #LAMBDA# = 0). The gauge degrees of freedom break down when a rotation is included, but even when they exist, there fails to be realized an equivalence of the two-form field and the massless scalar one recently claimed by Weinberg.