Bimetric 3+1 toolkit for spherical symmetry
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Testbed: GR dust collapse

The reference simulation is a dust collapse in GR.

The initial conditions come from [8]. The initial rest-mass density profile is given in Figure 1 below. The slicing represented by the proper time of the Eulerian observer is given in Figure 2. The time variation of the radius of each Lagrange shell with the emergence of the apparent horizon is given in Figure 3 (cf. Fig. 4 in [8]).

fig-1.png
Figure 1.

The initial rest-mass density profile of the dust.

fig-2.png
Figure 2.

The slicing represented by the proper time of the Eulerian observer. The collapse of the lapse before reaching the singularity is clearly visible.

fig-3.png
Figure 3.

The time variation of the radius of each Lagrange shell (solid lines). The dashed line shows the apparent horizon.

The animation of Figure 3 is shown below: