Kerr-Schild Time Slicing

 
t/M = 0.00 t/M = 9.4
t/M = 11.9 t/M = 12.9
t/M = 74.8 t/M = 131.6

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Snapshots of the exterior magnetic field lines at select Kerr-Schild 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 white shaded sphere covers the matter interior; the black shaded area covers the region inside the event horizon; the grey shaded area covers the region inside rs=M excised from the numerical grid once the matter passes inside. In this gauge, using excision, we are able to integrate reliably to arbitrary late times.



t/M = 0.00 t/M = 9.4
t/M = 11.9 t/M = 12.9
t/M = 74.8 t/M = 131.6

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Blow-up of the same collapse. By the end of the integration, all exterior electromagnetic fields in the vicinity of the black hole have been captured or radiated away.




t/M = 0.00 t/M = 12.9
t/M = 39.8 t/M = 74.8
t/M = 131.6 t/M = 174.5

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Far-zone view of the same collapse. Note the transformation of the dipole magnetic field from a quasi-static longitudinal to a transverse electromagnetic wave.


last updated 6 Nov 14 by aakhan3