Publication date: Aug 1984
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 Friedmann universe with the cosmological constant Λ present) is proved. Geodesic motion is considered in both the Schwarzschild-de Sitter and Friedmann 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.