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  Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation

Young, S., Musco, I., & Byrnes, C. T. (2019). Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation. Journal of Cosmology and Astroparticle Physics, 2019(11): 012. doi:10.1088/1475-7516/2019/11/012.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-C1CC-B Version Permalink: http://hdl.handle.net/21.11116/0000-0005-C1CD-A
Genre: Journal Article

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 Creators:
Young, Sam1, Author              
Musco, Ilia, Author
Byrnes, Christian T., Author
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1Department of Membrane Biophysics, MPI for biophysical chemistry, Max Planck Society, ou_578579              

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 Abstract: The formation and abundance of primordial black holes (PBHs) arising from the curvature perturbation ζ is studied. The non-linear relation between ζ and the density contrast δ means that, even when ζ has an exactly Gaussian distribution, significant non-Gaussianities affecting PBH formation must be considered. Numerical simulations are used to investigate the critical value and the mass of PBHs which form, and peaks theory is used to calculate the mass fraction of the universe collapsing to form PBHs at the time of formation. A formalism to calculate the total present day PBH abundance and mass function is also derived. It is found that the abundance of PBHs is very sensitive to the non-linear effects, and that the power spectrum Pζ must be a factor of ∼2 larger to produce the same number of PBHs as the linear model (where the exact value depends on the critical value for a region to collapse and form a PBH). This also means that the derived constraints on the small-scale power spectrum from constraints on the abundance of PBHs are weaker by the same factor.

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Language(s): eng - English
 Dates: 2019-11-13
 Publication Status: Published online
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1088/1475-7516/2019/11/012
Other: LOCALID: 3196595
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Title: Journal of Cosmology and Astroparticle Physics
  Abbreviation : J. Cosmol. Astropart. Phys.
  Abbreviation : JCAP
Source Genre: Journal
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Pages: - Volume / Issue: 2019 (11) Sequence Number: 012 Start / End Page: - Identifier: ISSN: 1475-7516