  Studying particle motion in the gravitational field of a black hole from the
perspective of different observers is important for separating the coordinate
artifacts from the physical phenomena. In this paper, we show that a freely
falling test particle exhibits gravitational repulsion by a black hole as seen
by an asymptotic observer, whereas nothing of the kind happens as recorded by a
freely falling observer or by an observer located at a finite distance from the
event horizon. This analysis is carried out for a general Reissner-Nordstr\"om,
an extremal Reissner-Nordstr\"om, and a Schwarzschild black hole. We are lead
to conclude that the origin of these bizarre results lies in the fact that the
quantities measured by the different observers are neither Lorentz scalars nor
gauge invariant.
