  In this paper we derive a general solution for the most general rotating and
twisting locally rotationally symmetric spacetimes. This is achieved in three
steps. First we decompose the manifold via 1+1+2 semi-tetrad formalism that
yields a set of geometrical and thermodynamic scalars for the spacetime. We
then recast the Einstein field equations in terms of evolution and propagation
of these scalars. It is then shown that this class of spacetimes must possess
self similarity and we use this property to solve for these scalars, thus
obtaining a general solution. This solution has a number of very interesting
cosmological or astrophysical consequences which we discuss in detail.
