The Statistics of Primordial Black Holes in a Radiation-Dominated Universe: Recent and New Results
We review the nonlinear statistics of Primordial Black Holes that form from the collapse of over-densities in a radiation-dominated Universe. We focus on the scenario in which large over-densities are generated by rare and Gaussian curvature perturbations during inflation. As new results, we show th...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/9/421 |
| _version_ | 1797576457328787456 |
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| author | Cristiano Germani Ravi K. Sheth |
| author_facet | Cristiano Germani Ravi K. Sheth |
| author_sort | Cristiano Germani |
| collection | DOAJ |
| description | We review the nonlinear statistics of Primordial Black Holes that form from the collapse of over-densities in a radiation-dominated Universe. We focus on the scenario in which large over-densities are generated by rare and Gaussian curvature perturbations during inflation. As new results, we show that the mass spectrum follows a power law determined by the critical exponent of the self-similar collapse up to a power spectrum dependent cutoff, and that the abundance related to very narrow power spectra is exponentially suppressed. Related to this, we discuss and explicitly show that both the Press–Schechter approximation and the statistics of mean profiles lead to wrong conclusions for the abundance and mass spectrum. Finally, we clarify that the transfer function in the statistics of initial conditions for Primordial Black Holes formation (the abundance) does not play a significant role. |
| first_indexed | 2024-03-10T21:53:13Z |
| format | Article |
| id | doaj.art-1739c81bb227421187d0be43d58249ea |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T21:53:13Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-1739c81bb227421187d0be43d58249ea2023-11-19T13:17:45ZengMDPI AGUniverse2218-19972023-09-019942110.3390/universe9090421The Statistics of Primordial Black Holes in a Radiation-Dominated Universe: Recent and New ResultsCristiano Germani0Ravi K. Sheth1Institut de Ciencies del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès 1, E08028 Barcelona, SpainDepartment of Physics and Astronomy and Center for Particle Cosmology, University of Pennsylvania, 209 S. 33rd Street, Philadelphia, PA 19104, USAWe review the nonlinear statistics of Primordial Black Holes that form from the collapse of over-densities in a radiation-dominated Universe. We focus on the scenario in which large over-densities are generated by rare and Gaussian curvature perturbations during inflation. As new results, we show that the mass spectrum follows a power law determined by the critical exponent of the self-similar collapse up to a power spectrum dependent cutoff, and that the abundance related to very narrow power spectra is exponentially suppressed. Related to this, we discuss and explicitly show that both the Press–Schechter approximation and the statistics of mean profiles lead to wrong conclusions for the abundance and mass spectrum. Finally, we clarify that the transfer function in the statistics of initial conditions for Primordial Black Holes formation (the abundance) does not play a significant role.https://www.mdpi.com/2218-1997/9/9/421Primordial Black HolesDark Matterstatistics |
| spellingShingle | Cristiano Germani Ravi K. Sheth The Statistics of Primordial Black Holes in a Radiation-Dominated Universe: Recent and New Results Universe Primordial Black Holes Dark Matter statistics |
| title | The Statistics of Primordial Black Holes in a Radiation-Dominated Universe: Recent and New Results |
| title_full | The Statistics of Primordial Black Holes in a Radiation-Dominated Universe: Recent and New Results |
| title_fullStr | The Statistics of Primordial Black Holes in a Radiation-Dominated Universe: Recent and New Results |
| title_full_unstemmed | The Statistics of Primordial Black Holes in a Radiation-Dominated Universe: Recent and New Results |
| title_short | The Statistics of Primordial Black Holes in a Radiation-Dominated Universe: Recent and New Results |
| title_sort | statistics of primordial black holes in a radiation dominated universe recent and new results |
| topic | Primordial Black Holes Dark Matter statistics |
| url | https://www.mdpi.com/2218-1997/9/9/421 |
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