Maximal Time Slicing

 
t/M = 0.00 t/M = 7.9
t/M = 11.9 t/M = 12.1
t/M = 17.0 t/M = 20.7

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Snapshots of the interior and exterior magnetic field lines at select maximal time slices for the same collapse depicted in the Schwarzschild gauge. The star again collapses from rest at an initial areal radius Rs(0) = 4M. Points are plotted in a meridional plane using areal radii. The light shaded sphere covers the matter interior; the black shaded sphere covers the region inside the event horizon. Soon after the last snapshot at t = 20.7 grid stretching causes the quality of the numerical integration to deteriorate in this gauge.



t/M = 0.00 t/M = 7.9
t/M = 11.9 t/M = 12.1
t/M = 17.0 t/M = 20.7

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Blow-up of the same collapse . Note how in this gauge the stellar surface approaches a limit surface at rs ≈  3/2 M at late times. The horizon grows to its final value rs = 2M once all the matter crosses inside this radius.


last updated 6 Nov 14 aakhan3