Compatibility of non‑evaporation idealized models with semi‑classical laws

Determine whether a non‑evaporating black hole spacetime used as an idealized model is consistent with the semi‑classical Einstein equation when Hawking radiation and its backreaction are taken into account.

Background

The author emphasizes that unlike standard idealizations that still obey the relevant laws, the non‑evaporation idealization may conflict with semi‑classical dynamics because backreaction from Hawking radiation is expected to drive evaporation.

This raises a foundational issue: if the idealized model fails to satisfy the governing semi‑classical equations, its use in deriving Hawking radiation becomes epistemically problematic.