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## Main Question or Discussion Point

As I understand it, time (as seen by a distant observer) near event horizon of BH slows to "zero". It makes me wonder how long (as seen by a distant observer) it takes for matter to fall to the event horizon. I would guess this would be calculated via some appropriate integral (I am not confused by a Zeno's paradox here). Obviously, it depends on the distance and velocity of the mass, but one could use some "reasonable" assumptions (mass starts at rest relative to the BH at a distance of say 1000 km).

If the answer is infinite (or about the age of the universe), it would seem a black hole can't grow in mass. Presumably, this is not the answer.

If the answer is infinite (or about the age of the universe), it would seem a black hole can't grow in mass. Presumably, this is not the answer.