  We propose several novel scenarios how capture of small sublunar-mass
primordial black holes (PBHs) by compact stars, white dwarfs or neutron stars,
can lead to distinct short gamma-ray bursts (sGRBs) as well as microquasars
(MQs). In addition to providing new signatures, relativistic jets from these
systems will accelerate positrons to high energies. We find that if PBHs
constitute a sizable fraction of DM, they can significantly contribute to the
excess observed in the positron flux by the Pamela, the AMS-02 and the
Fermi-LAT experiments. Our proposal combines the beneficial features of
astrophysical sources and dark matter.
