Schwarzschild Time Slicing


t/M = 0.00 t/M = 8.9
t/M = 13.3 t/M = 13.4
t/M = 15.9 t/M = 17.7

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Snapshots of the exterior dipole magnetic field lines at select Schwarzschild time slices for a star which collapses from rest at an initial areal radius Rs=4M. Points are plotted in a meridional plane using areal radii. The light shaded sphere covers the matter interior. The initial growth of the longitudinal field due to flux freezing in the interior is ultimately followed by an outward burst of transverse electromagnetic radiation as the star approaches the black hole horizon at rs=2M. Soon after the last snapshot at t=17.7M the quality of the numerical integration deteriorates in this gauge.



t/M = 0.00 t/M = 8.9
t/M = 13.3 t/M = 13.4
t/M = 15.9 t/M = 17.7

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Blow-up of the same collapse . Note how in this gauge the exterior field lines which are linked to the interior are crushed tangentally toward the surface as it approaches the horizon. Field lines which pinch off and become disjoint from the interior propagate outward as a dipole electromagnetic wave.


last updated 6 Nov 14 aakhan3