An anisotropic magnetohydrodynamic universe in general relativity

Considering the cylindrically symmetric metric of Marder, we have constructed a non-static cylindrically symmetric cosmological model which is spatially homogeneous nondegenerate Petrov type I. The energy momentum tensor has been assumed to be that of a perfect fluid with an electromagnetic field and the 4-current is either zero or space-like. The model represents an expanding and shearing but non-rotating fluid flow which is also geodetic. The requirement of positive conductivity for a physically realistic model imposes an additional restriction on the metric potentials. Various physical and geometrical properties of the model have been discussed. (author)