Figure 10

Cowling TOV test: density on \(\pmb{(x, y)}\) plane. Two-dimensional rest-mass density distribution relative to the initial data maximum value on the equatorial \((x,y)\) plane at time \(t=4\text{,}500~M_{\odot}\) for the Cowling TOV test; the left part of the panel (i.e., \(x<0\)) refers to the MP5 scheme, while the right (i.e., \(x>0\)) part to the EL5 scheme. Oscillations are visible with the EL5 scheme at the stellar surface, but the exterior fluid is visibly less dense than in the MP5 case.