Abstract
The Einstein field equations are solved subject to the assumptions that (1) the source of the gravitational field is a non-rotating perfect fluid, (2) the Weyl tensor is algebraically special, (3) the repeated principal null direction is tangent to a geodesic, shearfree and twistfree congruence, and is parallely transferred along the fluid congruence. The solutions in which the line-element admits a multiply transitive group of motions have been studied by Stewart and Ellis; the remaining ones are new, and appear to represent inhomogeneous anisotropic cosmological models.
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