An Einstein-Strauss-de Sitter model of the universe

The possibility of constructing an Einstein-Strauss-de Sitter model of the Universe (i.e. a model of Schwarzschild-de Sitter mass condensations immersed in a Fridman universe with the cosmological constatnt Λ present) is proved. Geodesic motion is considered in both the Schwarzschild-de Sitter and Fridman parts of the model, and the matching of geodesics across the matching hypersurface of these parts is given. Some consequences of this geodesics matching which should be relevant in the process of formation and evolution of mass condensations due to gravitational instability of massive neutrinos in a neutrino-dominated universe are discussed. (author)