Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 3, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2007/03/010
Keywords
cosmological perturbation theory; physics of the early universe
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We calculate the constraints on the primordial curvature perturbation at the end of inflation from the present day abundance of primordial black holes (PBHs), as a function of the reheat temperature TRH. We first extend recent work on the formation of PBHs on scales which remain within the horizon during inflation and calculate the resulting constraints on the curvature perturbation. We then evaluate the constraint from PBHs that form, more conventionally, from super-horizon perturbations. The constraints apply for T-RH < 10(8) GeV and the inclusion of sub-horizon PBHs leads to a limit which is roughly three times tighter than the bound from super-horizon PBHs.
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