AXIONIC VORTICITY VARIATIONAL FORMULATION FOR RELATIVISTIC PERFECT FLUIDS

For an arbitrary equation of state giving the pressure P as a function of the energy density rhoc2, it is shown that the perfect fluid model defined thereby (and also the corresponding Ginzburg-Landau type generalization) can be represented by a variational theory in which the independent fields are an antisymmetric Kalb-Ramond gauge form, B(rhosigma), a pair of scalar vorticity gauge potentials, chi+/-, and a dilatonic scalar amplitude PHI. The associated physical fields consist of the dilatonic amplitude PHI itself, together with an axionic field, H(nurhosigma) = 3PHI-2del[(nu)B(rhosigma), and a vorticity field, omega(rhosigma) = 2del[(rhochi) + del(sigma)] chi-. The langrangian for the perfect fluid case will be given by - 1/12 c2PHI2 H(nurhosigma) H(nurhosigma) - 1/4 epsilon(nurhotsigmatau)B(nurho omega(sigmatau) - V {PHI2} for a dilatonic self-coupling potential V whose form as a function of PHI2 depends on the equation of state in such a way that its on-shell value will be given by V = 1/2(c2 rho - P).