Perfect fluid dynamics with conformal Newton-Hooke symmetries

Abstract

Perfect fluid equations are formulated which are invariant under the $\ell$-conformal Newton-Hooke group for an arbitrary integer or half-integer value of the parameter $\ell$. For $\ell =\frac{3}{2}$ the corresponding conserved charges are constructed and the Hamiltonian formulation is built.

16 pages

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