  The purpose of this study is to describe a perfect fluid matter distribution
that leads to a constant curvature region, thanks to the effect of a
non-minimal coupling. This distribution exhibits a density profile within the
range found in the interstellar medium and an adequate matching of the metric
components at its boundary. By identifying this constant curvature with the
value of the cosmological constant, and superimposing the spherical
distributions arising from different matter sources throughout the universe,
one is able to mimic a large-scale homogeneous cosmological constant solution.
