If I have a huge mass object, where around it the time is delayed and throw on it a stone: In normal conditions, without the time dilation, the stone falls on the object, and its mass increases, I can see the stone falling and can measure the mass increase of the object. In the time dilation case, the more the stone gets closer to the object slower it moves. But if the time still, I can't see the stone reach the object, and the object mass is not increased.
So, from outside a black hole, where is the eaten mass? in the center of the object or it is still around it?