• Corpus ID: 231709428

Extreme-Value Distributions and Primordial Black-Hole Formation

@inproceedings{Kuhnel2021ExtremeValueDA,
  title={Extreme-Value Distributions and Primordial Black-Hole Formation},
  author={Florian Kuhnel and Dominik J. Schwarz},
  year={2021}
}
We argue that primordial black-hole formation must be described by means of extreme-value theory. This is a consequence of the large values of the energy density required to initiate the collapse of black holes in the early Universe and the finite duration of their collapse. Compared to the Gaußian description of the most extreme primordial density fluctuations, the holes’ mass function is narrower and peaks towards larger masses. Secondly, thanks to the shallower fall-off of extremevalue… 
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References

SHOWING 1-10 OF 29 REFERENCES

Classical Quantum Gravity 30

  • 145009
  • 2013

Order Statistics

  • H. A. David
  • Mathematics
    International Encyclopedia of Statistical Science
  • 2011

Mathematical Proceedings of the Cambridge Philosophical Society

The main purpose is to characterise continuous maps that are n-branched coverings in terms of induced maps on the rings of functions. The special properties of Frobenius nhomomorphisms between two

Phys

  • Dark Univ. 31, 100755
  • 2021

and A

  • Riotto,
  • 2020

Phys

  • Rev. D88, 084051 (2013), [Erratum: Phys. Rev.D89,no.2,029903
  • 2014

Phys

  • Dark Univ. 24, 100275
  • 2019

LIGO Scientific, Virgo)

  • Phys. Rev. X 6,
  • 2016

Nature 298

  • 538
  • 1982

The numerical value of the threshold δc depends on shape and statistics of the collapsing overdensities, c.f. Refs. [39, 40] for spherical perturbations and Ref