Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes

Details Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes

1997-09-09

arxiv.org/abs/astro-ph/9709072v2

Phys.Rev.Lett.80:5481-5484,1998

Astronomy and Astrophysics

Astrophysics

4 pages, uses revtex, also available at http://bigwhirl.uchicago.edu/jcn/pub_pbh.html . To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.5481

The recent discovery of critical phenomena arising in gravitational collapse near the threshold of black hole formation is used to estimate the initial mass function of primordial black holes (PBHs). It is argued that the universal scaling relation between black hole mass and initial perturbation found for a variety of collapsing space-times also applies to PBH formation, indicating the possibility of the formation of PBHs with masses much smaller than one horizon mass. Owing to the natural fine-tuning of initial conditions by the exponential decline of the probability distribution for primordial density fluctuations, sub-horizon mass PBHs are expected to form at all epochs. This result suggests that the constraints on the primordial fluctuation spectrum based on the abundance of PBHs at different mass scales may have to be revisited.

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