Covariant Vortex In Superconducting–Superfluid–Normal Fluid Mixtures with Stiff Equation of State

The integrals of motion for a cylindrically symmetric stationary vortex are obtained in a covariant description of a mixture of interacting superconductors, superfluids and normal fluids. The relevant integrated stress–energy coefficients for the vortex with respect to a vortex–free reference state are calculated in the approximation of a “stiff”, i.e. least compressible, relativistic equation of state for the fluid mixture. As an illustration of the foregoing general results, we discuss their application to some of the well known examples of “real” superfluid and superconducting systems that are contained as special cases. These include Landau’s two–fluid model, uncharged binary superfluid mixtures, rotating conventional superconductors and the superfluid neutron–proton–electron plasma in the outer core of neutron stars. 47.75.+f, 47.37.+q, 74.60.-w, 97.60.Jd