  We describe recent work due to Niall \'O Murchadha and the author (Phys. Rev.
D57, 4728 (1998)) on the late time behaviour of the maximal foliation of the
extended Schwarzschild geometry which results from evolving a time symmetric
slice into the past and future, with time running equally fast at both spatial
ends of the manifold. We study the lapse function of this foliation in the
limit where proper time-at-infinity goes to ${+\infty}$ or ${-\infty}$ and the
slices approach $r=3m/2$.
