  General Relativity has had tremendous successes on both theoretical and
experimental fronts for over a century by now. However, the theory contents are
far from being exhausted. Only very recently, with gravitational wave detection
from colliding black holes, have we started probing gravity behavior in the
strongly non-linear regime. Even today, black hole studies keep revealing more
and more paradoxes and bizarre results. In this paper, inspired by David
Hilbert's startling observation, we show that, contrary to the conventional
wisdom, a freely falling test particle feels gravitational repulsion by a black
hole as seen by an asymptotic observer. We dig deeper into this relativistic
gravity surprising behavior and offer some explanations.
