Maximally Slicing a Black Hole

Details Maximally Slicing a Black Hole Maximally Slicing a Black Hole

May 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973phrvd...7.2814e&link_type=abstract

Physical Review D, vol. 7, Issue 10, pp. 2814-2817

Physics

83

Scientific paper

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>=0,u<=0) 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.

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