Assuming that no-hair theorem is correct, can the position of a massive body under the black hole's event horizon be communicated through the change in the space-time curvature gradient surrounding the black hole?
If the answer is "yes", isn't this conflicting with the statement that no information from under the horizon can be passed to the outside world?
Update: If the answer is “no”, does it mean that no-hair theorem is incorrect?
As the object closes in on the event horizon, its location gets smeared out all over the area of the event horizon. From our viewpoint, this takes an infinite amount of time but for practical purposes it means 1) the black hole's mass distribution remains spherically symmetric (no "lumps" in it that we could ever detect) and 2) as viewed from a safe distance away from the EH, anything that falls into it appears squashed into vanishing flatness just outside it and never "falls" all the way in.
