Abstract
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 () of the Kruskal diagram, tending asymptotically to the hypersurface and avoiding the singularity at . Maximality is therefore a potentially useful condition to impose in obtaining computer solutions of Einstein's equations.
- Received 20 November 1972
DOI:https://doi.org/10.1103/PhysRevD.7.2814
©1973 American Physical Society