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We study the formation of primordial black holes when they are generated by the collapse of large overdensities in the early universe. Since the density contrast is related to the comoving curvature perturbation by a nonlinear relation, the…

宇宙学与河外天体物理 · 物理学 2019-10-01 V. De Luca , G. Franciolini , A. Kehagias , M. Peloso , A. Riotto , C. Ünal

We analyze primordial non-gaussianities in presence of an ultra-slow phase during the inflationary dynamics, focusing on scenarios relevant for the production of primordial black holes. We compute the three-point correlation function of…

宇宙学与河外天体物理 · 物理学 2021-08-25 Marco Taoso , Alfredo Urbano

The formation and abundance of primordial black holes (PBHs) arising from the curvature perturbation $\zeta$ is studied. The non-linear relation between $\zeta$ and the density contrast $\delta$ means that, even when $\zeta$ has an exactly…

宇宙学与河外天体物理 · 物理学 2019-11-15 Sam Young , Ilia Musco , Christian T. Byrnes

We discuss the effect of local type non-Gaussianity on the abundance of primordial black holes (PBH) based on the peak theory. We provide the PBH formation criterion based on the so-called compaction function and use the peak theory…

宇宙学与河外天体物理 · 物理学 2024-03-19 Chul-Moon Yoo , Jinn-Ouk Gong , Shuichiro Yokoyama

We perturbatively study the effect of non-Gaussianities on the mass fraction of primordial black holes (PBHs) at the time of formation by systematically taking its effect into account in the one-point probability distribution function of…

宇宙学与河外天体物理 · 物理学 2022-11-02 Takahiko Matsubara , Misao Sasaki

This paper explores the consequences of non-Gaussian cosmological perturbations for the formation of primordial black holes (PBHs). A non-Gaussian probability distribution function (PDF) of curvature perturbations is presented with an…

天体物理学 · 物理学 2007-08-31 J. C. Hidalgo

The production rate of primordial black holes is often calculated by considering a nearly Gaussian distribution of cosmological perturbations, and assuming that black holes will form in regions where the amplitude of such perturbations…

宇宙学与河外天体物理 · 物理学 2024-03-19 Chul-Moon Yoo , Tomohiro Harada , Jaume Garriga , Kazunori Kohri

In this paper, we update the peak theory for the estimation of the primordial black hole (PBH) abundance, particularly by implementing the critical behavior in the estimation of the PBH mass and employing the averaged compaction function…

宇宙学与河外天体物理 · 物理学 2023-12-06 Naoya Kitajima , Yuichiro Tada , Shuichiro Yokoyama , Chul-Moon Yoo

We develop an exact formalism for the computation of the abundance of primordial black holes (PBHs) in the presence of local non-gaussianity (NG) in the curvature perturbation field. For the first time, we include NG going beyond the widely…

宇宙学与河外天体物理 · 物理学 2023-02-20 Giacomo Ferrante , Gabriele Franciolini , Antonio Junior Iovino , Alfredo Urbano

Primordial black-hole formation depends exponentially on the far tail of the primordial curvature-perturbation distribution. That sensitivity makes the small-scale collapse problem a sharp probe of primordial non-Gaussianity. We study the…

宇宙学与河外天体物理 · 物理学 2026-04-16 Owais Farooq , Romana Zahoor , Balungi Francis

We consider quantum diffusion in ultra-slow-roll (USR) inflation. Using the $\Delta N$ formalism, we present the first stochastic calculation of the probability distribution $P(\mathcal{R})$ of the curvature perturbation during USR. We…

宇宙学与河外天体物理 · 物理学 2025-09-22 Daniel G. Figueroa , Sami Raatikainen , Syksy Rasanen , Eemeli Tomberg

In the context of transient constant-roll inflation near a local maximum, we derive the non-perturbative field redefinition that relates a Gaussian random field with the true non-Gaussian curvature perturbation. Our analysis shows the…

宇宙学与河外天体物理 · 物理学 2019-10-09 Vicente Atal , Jaume Garriga , Airam Marcos-Caballero

In light of recent developments in the field, we re-evaluate the effect of local-type non-Gaussianity on the primordial black hole (PBH) abundance (and consequently, upon constraints on the primordial power spectrum arising from PBHs). We…

宇宙学与河外天体物理 · 物理学 2023-10-26 Sam Young

If the primordial curvature perturbation followed a Gaussian distribution, primordial black holes (PBHs) will be Poisson distributed with no additional clustering. We consider local non-Gaussianity and its impact on the initial PBH…

宇宙学与河外天体物理 · 物理学 2020-03-18 Sam Young , Christian T. Byrnes

We compute the probability density distribution of maxima for a scalar random field in the presence of local non-gaussianities. The physics outcome of this analysis is the following. If we focus on maxima whose curvature is larger than a…

宇宙学与河外天体物理 · 物理学 2021-09-08 Flavio Riccardi , Marco Taoso , Alfredo Urbano

We study the non-Gaussian tail of the curvature fluctuation, $\zeta$, in an inflationary scenario with a transient ultra slow-roll phase that generates a localized large enhancement of the spectrum of $\zeta$. To do so, we implement a…

The most promising mechanism of generating PBHs is by the enhancement of power spectrum of the primordial curvature perturbation, which is usually accompanied by the the enhancement of non-Gaussianity that crucially changes the abundance of…

宇宙学与河外天体物理 · 物理学 2025-06-11 Shi Pi

We review the basic arguments for the likelihood of non-Gaussian density perturbations in inflation models with primordial black hole (PBH) production. We discuss our derived distributions of field fluctuations and their implications,…

天体物理学 · 物理学 2007-05-23 James S. Bullock , Joel R. Primack

We investigate the formation of primordial black holes (PBHs) in an upward step inflationary model, where nonlinearities between curvature perturbations and field fluctuations introduce a cutoff, deviating from the Gaussian case. This…

宇宙学与河外天体物理 · 物理学 2025-09-12 Xiaoding Wang , Xiao-Han Ma , Yi-Fu Cai

We develop the non-linear statistics of primordial black holes generated by a gaussian spectrum of primordial curvature perturbations. This is done by employing the compaction function as the main statistical variable under the constraints…

宇宙学与河外天体物理 · 物理学 2020-03-25 Cristiano Germani , Ravi K. Sheth
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