Inhomogeneous cosmology - Gravitational radiation in Bianchi backgrounds

An exact formalism is developed for describing cosmological models with strong, long wavelength gravitational waves of general polarization propagating over backgrounds corresponding to Bianchi types I through VII. We introduce and discuss a new metric which exhibits the appropriate symmetries of two equivalent independent polarizations of gravitational waves. The formalism is applied to an empty type I cosmology, and it is shown how the original z-dependent chaotic singularity structure transforms itself into gravitational radiation propagating along the z-axis in a Bianchi I background.