Astronomy and Astrophysics – Astrophysics
Scientific paper
2006-12-14
JCAP 0703:010,2007
Astronomy and Astrophysics
Astrophysics
8 pages, 2 figures, version to appear in JCAP, minor changes
Scientific paper
10.1088/1475-7516/2007/03/010
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 T_{\rm RH}. 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_{\rm 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.
Green Anne M.
Malik Karim A.
Sasaki Misao
Zaballa Ignacio
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