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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…

Cosmology and Nongalactic Astrophysics · Physics 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…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Chul-Moon Yoo , Jinn-Ouk Gong , Shuichiro Yokoyama

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…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-25 Cristiano Germani , Ravi K. Sheth

Primordial black holes (PBHs) can form in the early Universe via the collapse of large density perturbations. There are tight constraints on the abundance of PBHs formed due to their gravitational effects and the consequences of their…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-30 Amandeep S. Josan , Anne M. Green , Karim A. Malik

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…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-20 Giacomo Ferrante , Gabriele Franciolini , Antonio Junior Iovino , Alfredo Urbano

Primordial black holes (PBHs) can form in the early Universe, for instance during radiation domination, from the collapse of large-amplitude density perturbations shortly after horizon re-entry. This mechanism establishes an approximate…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-25 Ashu Kushwaha , Teruaki Suyama

In this paper, the formation of primordial black holes (PBHs) is reinvestigated using inflationary $\alpha$-attractors. Instead of using the conventional Press-Schechter theory to compute the abundance, the optimized peaks theory is used,…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-11 Rafid Mahbub

We reinspect the calculation for the mass fraction of primordial black holes (PBHs) which are formed from primordial perturbations, finding that performing the calculation using the comoving curvature perturbation $\mathcal{R}_{c}$ in the…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Sam Young , Christian T. Byrnes , Misao Sasaki

The primordial black hole (PBH) is an effective candidate for dark matter. In this work, the PBH abundance $f$ is calculated in peak theory, with one or two perturbations in the inflaton potential. We construct an antisymmetric perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-09 Qing Wang , Yi-Chen Liu , Bing-Yu Su , Nan Li

In the model where Primordial Black Holes (PBHs) form from large primordial curvature (C) perturbations, i.e., CPBHs, constraints on PBH abundance provide in principle constraints on the primordial curvature power spectrum. This connection…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-15 Alba Kalaja , Nicola Bellomo , Nicola Bartolo , Daniele Bertacca , Sabino Matarrese , Ilia Musco , Alvise Raccanelli , Licia Verde

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…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-01 V. De Luca , G. Franciolini , A. Kehagias , M. Peloso , A. Riotto , C. Ünal

Primordial black holes (PBH) can form in the early Universe from peaks of the primordial curvature perturbations. The statistics of the peaks determines the abundance of PBHs, and is related to the amplitude of the primordial curvature…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-09 Alexander Gallego Cadavid , Antonio Enea Romano

We consider the process of primordial black hole (PBH) formation originated from primordial curvature perturbations produced during waterfall transition (with tachyonic instability), at the end of hybrid inflation. It is known that in such…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-08 Edgar Bugaev , Peter Klimai

We determine the abundance of primordial black holes (PBHs) formed in the context of non-gaussian models with primordial density perturbations. We consider models with a renormalized $\chi^2$ probability distribution function parametrized…

Astrophysics · Physics 2013-05-29 P. P. Avelino

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…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-06 Naoya Kitajima , Yuichiro Tada , Shuichiro Yokoyama , Chul-Moon Yoo

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…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-12 Xiaoding Wang , Xiao-Han Ma , Yi-Fu Cai

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…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Flavio Riccardi , Marco Taoso , Alfredo Urbano

We revisit the calculation of the abundance of primordial black holes (PBHs) formed from primordial density perturbations, using a formation criterion derived by Shibata and Sasaki which refers to a metric perturbation variable rather than…

Astrophysics · Physics 2009-10-09 Anne M. Green , Andrew R. Liddle , Karim A. Malik , Misao Sasaki

We consider several early Universe models that allow for production of large curvature perturbations at small scales. As is well known, such perturbations can lead to formation of primordial black holes (PBHs). We briefly review the today's…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-10 P. A. Klimai , E. V. Bugaev

We consider the application of peaks theory to the calculation of the number density of peaks relevant for primordial black hole (PBH) formation. For PBHs, the final mass is related to the amplitude and scale of the perturbation from which…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-28 Sam Young , Marcello Musso
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