In addition, I understand that black holes have a gravity well that is not that wide, but exceptionally steep once entered. Perhaps this configuration means that most of its own gravity is swallowed up at long distances.
Ordinary stars may pull on every other object in the universe, but black holes only pull (with their full strength) on things inside their event horizons. Things outside are pulled on with a quantum tithe of gravitry, i.e.- Only those gravity "waves" able to escape the event horizon due to the fluctating nature of the quantum world near the edge of the event horizon.
Whut U ThAnk?
The curvature of the universe is unchanged by the energy transformations.
BTW, I've been bit by that one myself on a different question. Physicist had to slap me awake.
Sort of. Black holes act gravitationally-speaking just like an ordinary body of the same mass if you are outside the critical radius. If there were a black hole in place of the sun, and if that black hole had the same mass as the sun, earth and the other planets would continue orbiting just as they do now. In the dark.