• DOI:10.1103/PhysRevLett.80.5481
• Corpus ID: 744904

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

@article{Niemeyer1998NearCriticalGC,
  title={Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes},
  author={Jens C. Niemeyer and Karsten Jedamzik},
  journal={Physical Review Letters},
  year={1998},
  volume={80},
  pages={5481-5484}
}

• J. Niemeyer, K. Jedamzik
• Published 9 September 1997
• Physics
• Physical Review Letters

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.