After gravitational collapse the stress-energy tensor approaches the Unruh state as t^{-3} or u^{-3} with nonzero leading coefficient determined by the Wronskian branch point.
Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon,
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Power-Law Approach of the Stress-Energy Tensor to the Unruh State after Gravitational Collapse
After gravitational collapse the stress-energy tensor approaches the Unruh state as t^{-3} or u^{-3} with nonzero leading coefficient determined by the Wronskian branch point.