Theoretically, it has influence everywhere in the universe. Practically, the Gravisphere / Gravipause depends on the bodies within some boundary you establish ( like the Lagrange points ). Consider that gravitation is reciprocal between any two bodies in space, and on Earth we can detect gravity waves from very distance Black Holes ( https://www.ligo.caltech.edu/page/gw-sources ), so at the Black Hole, with a sensitive enough detector, one would be able to observe Earth.