Neutrino point source searches for dark matter spikes
  Any dark matter spikes surrounding black holes in our Galaxy are sites of
significant dark matter annihilation, leading to a potentially detectable
neutrino signal. In this paper we examine $10-10^5 M_\odot$ black holes
associated with dark matter spikes that formed in early minihalos and still
exist in our Milky Way Galaxy today, in light of neutrino data from the ANTARES
and IceCube detectors. In various regions of the sky, we determine the minimum
distance away from the solar system that a dark matter spike must be in order
to have not been detected as a neutrino point source for a variety of
representative dark matter annihilation channels. Given these constraints on
the distribution of dark matter spikes in the Galaxy, we place significant
limits on the formation of the first generation of stars in early minihalos --
stronger than previous limits from gamma-ray searches in Fermi Gamma-Ray Space
Telescope data. The larger black holes considered in this paper may arise as
the remnants of Dark Stars after the dark matter fuel is exhausted; thus
neutrino observations may be used to constrain the properties of Dark Stars.
The limits are particularly strong for heavier WIMPs. For WIMP masses $\sim 5
\,$TeV, we show that $\lesssim 10 \%$ of minihalos can host first stars that
collapse into BHs larger than $10^3 M_\odot$.
