Not at all. Far outside a Black Hole, gravity feels just the same as it would if the Hole were a regular star. For example, if our Sun were suddenly replaced by a Black Hole with the same mass as the Sun, the Earth would continue orbiting as usual (though things would get pretty cold). The Sun's replacement would actually trap fewer things floating through space than the Sun would, though they would stay trapped in a black hole.
The SXS project is a collaborative research effort involving multiple institutions. Our goal is the simulation of black holes and other extreme spacetimes to gain a better understanding of Relativity, and the physics of exotic objects in the distant cosmos.
The SXS project is supported by Canada Research Chairs, CFI, CIfAR, Compute Canada, Max Planck Society, NASA, NSERC, the NSF, Ontario MEDI, the Sherman Fairchild Foundation, and XSEDE.