On the space-time permeated by a viscous, compressible, thermally conducting, self-gravitating fluid with infinite electrical conductivity and constant magnetic permeability

The properties of the space-time filled with a viscous, compressible, thermally conductivity, relativistic fluid with infinite electrical conductivity and constant magnetic permeability (magnetofluid) are investigated. The causes producing the disturbance in the homogeneity and isotropy of the universe filled with the magnetofluid are found by constructing 'Maxwell-like' equations. Further the compatibility of a C-space with the gravitational field of the magnetofluid is examined. The propagation equations for the kinematical parameters are obtained and it is proved that for an essentially expanding flow of the magnetofluid, the tidal force is due to magnetic field only. Moreover, if the stream lines are shear-free and irrotational then it is shown that the magnetofluid is of Petrov type I, D or O