Maximally Slicing a Black Hole
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields1973Vol. 7(10), pp. 2814–2817
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F. B. Estabrook, H. D. Wahlquist, Steven M. Christensen, Bryce S. DeWitt, Larry Smarr, Elaine Y L Tsiang
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 ($u\ensuremath{\ge}0,u\ensuremath{\le}0$) of the Kruskal diagram, tending asymptotically to the hypersurface $r=\frac{3}{2}M$ and avoiding the singularity at $r=0$. Maximality is therefore a potentially useful condition to impose in obtaining computer solutions of Einstein's equations.
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