1997/09/30 by J. C. Niemeyer, Karsten Jedamzik, K. Jedamzik · 12 citations
Physics and Astronomy · #Apparent horizon #Astronomy #Astrophysics #Binary black hole #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Event horizon #Gravitation #Gravitational collapse #Gravitational wave #Horizon #Mass distribution #Perturbation (astronomy) #Physics #Primordial black hole #Quantum mechanics #Relativity and Gravitational Theory #Universe #astro-ph #gr-qc
paper · pdf · doi:10.1103/physrevlett.80.5481
published as Phys.Rev.Lett.80:5481-5484,1998 · 4 pages, uses revtex, also available at http://bigwhirl.uchicago.edu/jcn/pub_pbh.html . To appear in Phys. Rev. Lett
arxiv created 1998/05/13 · openalex publication_date 1998/06/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 scaling relation between black-hole mass and initial perturbation found for a collapsing radiation fluid in an asymptotically flat space-time also applies to PBH formation in a Friedmann universe. 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. We derive a two-parameter mass function for PBHs.