Somewhere on the web I read that as new matter is captured by a black hole, the event horizon expands. But as it expands it does not engulf the matter that previously accumulated close to the horizon. Instead all that matter is carried outward along with the expanding event horizon. But "carried outward" doesn't mean the matter backs up. The distance of that matter from distant objects remains the same. Is this true? If so, is it only the matter around the horizon that maintains a constant distance from distant objects? Or does the event horizon itself maintain a constant distance from distant objects?