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Primordial black hole numbers: standard formulas and charts

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arxiv 2408.09303 v1 pith:U4O4FULS submitted 2024-08-17 astro-ph.CO gr-qc

Eemeli Tomberg This is my paper · ORCID
classification astro-ph.COgr-qc
keywords blackchartscomputationsformulasgivenholeprimordialstandard
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abstract

This brief note presents standard computations of primordial black hole mass $M$ given perturbations of scale $k$, and their late-time abundance $\Omega_\text{PBH}$ given their initial density fraction $\beta$. I recap the assumptions made in these computations and present formulas and reference charts useful for a working cosmologist.

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Cited by 1 Pith paper

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  1. Reconstruction of Primordial Power Spectrum from Gravitational Waves of High-Redshift Black Hole Binaries

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    Gradient-descent inversion of redshifted BBH mass distributions recovers the PBH mass function and, via regularized Press-Schechter, a candidate O(10^{-2}) bump in the small-scale primordial power spectrum.

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