Question

Imagine two black holes of the same mass, namely that of a black hole in the center of a typical galaxy. They are fairly near each other, say a billion miles or so; and they are revolving in circular orbits about their common center of mass. Can anyone describe what happens to the space near this black-hole binary system? What hppens in the space that is, say a few light-hours away from it? If we used Newton's inverse- square law to compute gravitational field strength at various points and times, we would have a time-varying gravitational field. According to more modern theory, no messag