Neutrino and Positron Constraints on Spinning Primordial Black Hole Dark
  Matter
  Primordial black holes can have substantial spin -- a fundamental property
that has a strong effect on its evaporation rate. We conduct a comprehensive
study of the detectability of primordial black holes with non-negligible spin,
via the searches for the neutrinos and positrons in the MeV energy range.
Diffuse supernova neutrino background searches and observation of the 511 keV
gamma-ray line from positrons in the Galactic center set competitive
constraints. Spinning primordial black holes are probed up to a slightly higher
mass range compared to non-spinning ones. Our constraint using neutrinos is
slightly weaker than that due to the diffuse gamma-ray background, but
complementary and robust. Our positron constraints are typically weaker in the
lower mass range and stronger in the higher mass range for the spinning
primordial black holes compared to the non-spinning ones. They are generally
stronger than those derived from the diffuse gamma-ray measurements for
primordial black holes having masses greater than a few $\times \, 10^{16}$g.
