Outside the static limit, a spacecraft can move where it wants. Once in the ergosphere, though, it is inexorably draged around by the holes spin, but it could still escape if its engines were powerful enough. Within the outer event horizon it cannot get away even if its engines have infinite power. Our Sun makes a relativity shallow dent. A white dwarf, being denser, dents space far more noticeably.
Objects roll quickly towards it as they approach the steep slope.
A neutron star creates a dent with very steep sides. Objects rolling in reach half the speed of light. A Black Hole makes such a deep dent, that it forms a well. The sides of this gravitational well are so steep that even light can not escape. Light rays approaching a black hole are bent around by steeply curved space.