Model for quantum effects in stellar collapse

We present a simple model for stellar collapse and evaluate the quantum mechanical stress-energy tensor to argue that quantum effects do not play an important role for the collapse of astrophysical objects.

Figure 1

$m^2⟨0|T_{uu}|0⟩$ as a function of $r$ coincides with $⟨0|T_{vv}|0⟩$ on the onset of the collapse, here represented by large values of $R$ and with [6] for very late times, for $R\to 2m$. The horizontal plane on top of the graph represents the constant ${\kappa }^2/48\pi$.

Figure 2

All appropriate observables as measured by someone following the collapse obtained from the regularized energy-momentum tensor are finite everywhere except at the singularity. The graph shows exclusively the region around $r=2m$.