A Critique of the relativistic cosmology

All the relativistic cosmological models of the universe, except Einstein's static model, imply that the 3-space of the spacetime of the universe is also expanding apart from the matter and the radiation in it. However, there is no observational evidence of the expansion of the 3-space of the spacetime of the universe. Actually, the 3-space of the spacetime of the universe might not be expanding at all. Consequently, the conceptual foundation of the relativistic cosmological models of the universe based on the general theory of relativity, which in turn is based on Riemannian geometry, might be faulty and misleading.