Primordial black hole formation from a type II perturbation in the absence and presence of pressure

Fuente: arXiv
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Auteurs principaux: Uehara, Koichiro, Escrivà, Albert, Harada, Tomohiro, Saito, Daiki, Yoo, Chul-Moon
Format: Preprint
Publié: 2025
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author Uehara, Koichiro
Escrivà, Albert
Harada, Tomohiro
Saito, Daiki
Yoo, Chul-Moon
author_facet Uehara, Koichiro
Escrivà, Albert
Harada, Tomohiro
Saito, Daiki
Yoo, Chul-Moon
contents We investigate primordial black holes (PBHs) formed from extremely large amplitudes of primordial curvature fluctuations, classified as type II. Type II fluctuations differ from type I by the presence of a stationary point on the initial time slice, when we see the areal radius as a function of the radial coordinate. Starting from these type II perturbations to form black holes, the nonlinear evolution governed by the Einstein equations generally results in two distinct types, A and B, of horizon configurations, respectively characterized by the absence and presence of a bifurcating trapping horizon where past and future trapping horizons meet. In this paper, we use the Lemaitre-Tolman-Bondi solution to show that type I/II and type A/B classifications are equivalent for a spherically symmetric dust fluid system, regardless of the fluctuation profile. However, this equivalence does not generally hold in the presence of pressure.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00366
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Primordial black hole formation from a type II perturbation in the absence and presence of pressure
Uehara, Koichiro
Escrivà, Albert
Harada, Tomohiro
Saito, Daiki
Yoo, Chul-Moon
General Relativity and Quantum Cosmology
We investigate primordial black holes (PBHs) formed from extremely large amplitudes of primordial curvature fluctuations, classified as type II. Type II fluctuations differ from type I by the presence of a stationary point on the initial time slice, when we see the areal radius as a function of the radial coordinate. Starting from these type II perturbations to form black holes, the nonlinear evolution governed by the Einstein equations generally results in two distinct types, A and B, of horizon configurations, respectively characterized by the absence and presence of a bifurcating trapping horizon where past and future trapping horizons meet. In this paper, we use the Lemaitre-Tolman-Bondi solution to show that type I/II and type A/B classifications are equivalent for a spherically symmetric dust fluid system, regardless of the fluctuation profile. However, this equivalence does not generally hold in the presence of pressure.
title Primordial black hole formation from a type II perturbation in the absence and presence of pressure
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2505.00366