  Two families of noncommutative extensions are given of a general space-time
metric with spherical symmetry, both based on the matrix truncation of the
functions on the sphere of symmetry. The first family uses the truncation to
foliate space as an infinite set of spheres, is of dimension four and
necessarily time-dependent; the second can be time-dependent or static, is of
dimension five and uses the truncation to foliate the internal space.
