Question: as I recall the standard Schwarzchild metric allows for particles to move faster than light while falling into the black hole. Would it be reasonably

Question: as I recall the standard Schwarzchild metric allows for particles to move faster than light while falling into the black hole. Would it be reasonably plausible that such instabilities get covered up by appropriate event horizons? E.g. how do we know that such tachyonic instabilities aren’t a physical effect of some kind?