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Extreme-value statistics of the spin of primordial black holes
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Chongchitnan, Siri and Silk, Joseph (2021) Extreme-value statistics of the spin of primordial black holes. Physical Review D (Particles, Fields, Gravitation and Cosmology), 104 (8). 083018 . doi:10.1103/PhysRevD.104.083018 ISSN 1550-7998.
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Official URL: http://dx.doi.org/10.1103/PhysRevD.104.083018
Abstract
How rare are extreme-spin primordial black holes? We show how, from an underlying distribution of primordial black hole (PBH) spin, extreme-value statistics can be used to quantify the rarity of spinning PBHs with Kerr parameter close to 1. Using the peaks-over-threshold method, we show how the probability that a PBH forms with spin exceeding a sufficiently high threshold can be calculated using the generalized Pareto distribution. This allows us to estimate the average number of PBHs amongst which we can find a single PBH that formed with spin exceeding a high threshold. We found that the primordial spin distribution gives rise to exceedingly rare near-extremal spin PBHs at formation time: for typical parameter values, roughly up to one in a hundred million PBHs would be formed with spin exceeding the Thorne limit. We discuss conditions under which even more extreme-spin PBHs may be produced, including modifying the skewness and kurtosis of the spin distribution via a smooth transformation. We deduce from our calculations that, if indeed asteroid-mass PBHs above the current observational limit on evaporating PBHs of mass ∼1017 g contribute significantly to the dark matter, it is very likely that some of them at somewhat lower masses could be long-lived near-extremal PBHs.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QB Astronomy Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Black holes (Astronomy), Black holes (Astronomy) -- Statistical methods, Rotational motion (Rigid dynamics) , Gravitational waves | ||||||||
Journal or Publication Title: | Physical Review D (Particles, Fields, Gravitation and Cosmology) | ||||||||
Publisher: | American Physical Society | ||||||||
ISSN: | 1550-7998 | ||||||||
Official Date: | 15 October 2021 | ||||||||
Dates: |
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Volume: | 104 | ||||||||
Number: | 8 | ||||||||
Article Number: | 083018 | ||||||||
DOI: | 10.1103/PhysRevD.104.083018 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | © 2021 American Physical Society | ||||||||
Date of first compliant deposit: | 23 November 2021 | ||||||||
Date of first compliant Open Access: | 24 November 2021 |
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