  A united approach of the large-scale structure of a closed universe and the
local spherically symmetric gravitational field is given by supposing an
appropriate boundary condition. The general feature of the model obtained are
the following. The universe is approximately homogeneous and isotropic on the
average on large scale and is expanding at present, as described by the
standard model; while locally, the small exterior region of a star started long
ago to contract, as expected by the gravitational collapse theory.
