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We give a Hamiltonian formulation of relativistic perfect fluids free of any constraints starting from an action principle based on three scalar fields. We show that it can describe not only the barytropic case but also more general perfect fluids with entropy and two or more thermodynamic variables conserved along the fluid flow (i.e. multiconstituent perfect fluids).
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Comer et al. (1993) studied this question.
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