I recently saw this question, and came across a claim from Anixx that a Schwarzschild black hole cannot evaporate because it is static:
@HDE 226868 Schwartzshield solution is a static one, which does not change with time.
Yet here there exists a detailed derivation of how a Schwarzschild black hole can emit Hawking radiation.
Is Wikipedia right? Can Schwarzschild black holes evaporate?