  The decay of very heavy metastable relics of the Early Universe can produce
ultra-high energy cosmic rays (UHECRs) in the halo of our own Galaxy. On
distance scales of the order of the halo size, energy losses are
negligible---no Greisen-Zatsepin-Kuzmin cutoff is expected. In this letter we
show that, as a consequence of the hierarchical build up of the halo, this
scenario predicts the existence of small scale anisotropies in the arrival
directions of UHECRs. We also suggest some consequences of this scenario which
will be testable with upcoming experiments, as Auger.
