Perfect fluid coupled to a solenoidal field which enjoys the l-conformal Galilei symmetry

Abstract

A non-relativistic (Galilei-invariant) model of a perfect fluid coupled to a solenoidal field in arbitrary spatial dimension is considered. It contains an arbitrary parameter $\kappa$ and in the particular case of $\kappa =1$ it describes a perfect fluid coupled to a magnetic field. For a special value of $\kappa$, the theory admits the Schrodinger symmetry group which is consistent with the magnetic case in two spatial dimensions only. Generalization to the case of the l-conformal Galilei group for an arbitrary half-integer parameter l is constructed.

9 pages

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Cited by in corpus (1)

• Perfect fluid dynamics with conformal Newton-Hooke symmetries