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Analytic and computer-derived solutions are presented of the problem of slicing the Schwarzschild geometry into asymptotically-flat, asymptotically-static, maximal spacelike hypersurfaces. The sequence of hypersurfaces advances forward in time in both halves (u0, u0) of the Kruskal diagram, tending asymptotically to the hypersurface r=32M and avoiding the singularity at r=0. Maximality is therefore a potentially useful condition to impose in obtaining computer solutions of Einstein's equations.
Estabrook et al. (Tue,) studied this question.