  In this paper, we examine whether low-mass Primordial Black Holes (PBHs) can
be considered a plausible dark matter candidate in galactic halos. We derive
the relativistic dynamics of PBHs around the heavy compact objects and evaluate
their collision rate, as well as the likelihood of PBH capture in neutron stars
and black holes. Although the rate of these collisions in the Milky Way is
lower than our lifetime (i.e. almost one collision per hundred years), it may
still be observable on cosmological scales. Additionally, we investigate the
gravitational wave emission as an important observable window for
PBH-astrophysical black hole merging. For the allowed range of PBH mass,
gravitational wave signal is smaller than the sensitivity of present
gravitational wave detectors. We provide observational prospect for detection
of these events in future.
