Smoothing out spatially closed cosmologies
We discuss a smoothing-out procedure that deforms a family of locally inhomogeneous anisotropic spatially closed cosmological models into closed Friedmann-Robertson-Walker universes. This gives a precise content to the averaging hypothesis tacitly assumed in cosmology by providing explicitly the correction terms to the physical sources induced on smoothing out the space time geometry. The consequences of such terms on the dynamics of the Universe are discussed.