Cauchy problem for perfectly conducting viscous magnetofluid in general relativity

In recent years evidence has been accumulating that shows that in the early universe matter was in the dense plasma state, possibly associated with a strong primordial magnetic field. It has also been shown that the effect of particle creation at this epoch is equivalent in macroscopic theory to the effect of viscosity, of which shear viscosity was much more important and which may have removed some anisotropy present initially. The aim of this paper is to study the Cauchy problem for a perfectly conducting viscous magnetofluid assuming the pressure and coefficients of viscosity to be functions of the density alone. We also study the consistency conditions satisfied by four unknown quantities on the initial Cauchy hypersurface and show that hydrodynamic and Alfvén waves cannot be differentiated, unlike what occurs in a perfect magnetofluid.