Universal threshold for primordial black hole formation
By A. Escrivá, C. Germani, R. Sheth. Physical Review D, 2019
178 citations recorded by the source corpus.
In this letter, we argue and show numerically that the threshold to form primordial black holes from an initial spherically symmetric perturbation is, to an excellent approximation, universal, whenever given in terms of the compaction function averaged over a sphere of radius $r_m$, where $r_m$ is the scale on which the compaction function is maximum. This can be understood as the requirement that, for a black hole to form, each shell of the averaged compaction function should have an amplitude exceeding the so-called Harada-Yoo-Kohri limit. For a radiation dominated universe we argued, supported by the numerical simulations, that this limit is $\delta_c = 0.40$, which is slightly below the one quoted in the literature. Additionally, we show that the profile dependence of the threshold for the compaction function is only sensitive to its curvature at the maximum. We use these results to provide an analytic formula for the threshold amplitude of the compaction function at its maximum in terms of the normalised compaction function curvature at $r_m$.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/6df3291f8af12cbc92385e43c53bf5d1c88f9ca1
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Citations in the corpus
- Primordial Black Holes as Dark Matter: Recent Developments (2020, background): “Note that there is a distinction between the threshold value for the density and curvature fluctuation [66] and one now has a good analytic understanding of these issues [67, 68].”
- Primordial black holes as dark matter candidates (2021, background): “Note that there is a distinction between the threshold value for the density fluctuation and the associated fluctuation in the curvature of the spatial hypersurfaces [24] and one now has a good analytic understanding of this issue [25, 26].”