Cold dark matter near the galactic center is accreted by the central black
hole into a dense spike. Particle dark matter annihilation makes the spike
a compact source of photons, electrons, positrons, protons, antiprotons., a
nd neutrinos. The spike luminosity depends on the halo density profile: hal
os with finite cores have unnoticeable spikes; halos with inner cusps may h
ave spikes so bright that the absence of a neutrino signal from the galacti
c center already places upper limits on the density slope of the inner halo
. Future neutrino telescopes observing the galactic center could probe the
inner structure of the dark halo or indirectly find the nature of dark matt
er.