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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…

Astrophysics · Physics 2007-08-31 J. C. Hidalgo

Primordial black holes (PBHs) can form in the early Universe from the collapse of rare, large density fluctuations. They have never been observed, but this fact is enough to constrain the amplitude of fluctuations on very small scales which…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-20 Sam Young , Christian T. Byrnes

In the curvaton scenario, the curvature perturbation is generated after inflation at the curvaton decay, which may have a prominent non-Gaussian effect. For a model with a non-trivial kinetic term, an enhanced curvature perturbation on a…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-22 Shi Pi , Misao Sasaki

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…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-16 Owais Farooq , Romana Zahoor , Balungi Francis

Primordial Black Holes (PBH's) can form in the early Universe from the collapse of large density fluctuations. Tight observational limits on their abundance constrain the amplitude of the primordial fluctuations on very small scales which…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-20 Christian T. Byrnes , Edmund J. Copeland , Anne M. Green

We study the effects of non-Gaussianity from primordial black holes (PBHs). The formation of PBHs is in general a rare event and the number of PBHs fluctuates following the Poisson distribution function, which is independent from the…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-15 Jinn-Ouk Gong , Naoya Kitajima

We explore the role of non-Gaussian fluctuations in primordial black hole (PBH) formation and show that the standard Gaussian assumption, used in all PBH formation papers to date, is not justified. Since large spikes in power are usually…

Astrophysics · Physics 2016-08-24 James S. Bullock , Joel R. Primack

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,…

Astrophysics · Physics 2007-05-23 James S. Bullock , Joel R. Primack

Primordial black holes (PBHs) are black holes that might have formed in high density regions in the early universe. The presence of local-type non-Gaussianity can lead to large-scale fluctuations in the PBH formation rate. If PBHs make up a…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-30 Raphaël van Laak , Sam Young

We study the effect of the nonlinear relation between density and curvature perturbations on the formation of PBHs. By calculating the variance and skewness of the density perturbation we derive the non-Gaussian property. As a criterion for…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-12 Masahiro Kawasaki , Hiromasa Nakatsuka

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

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 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

We consider the early Universe scenario which allows for production of non-Gaussian curvature perturbations at small scales. We study the peculiarities of a formation of primordial black holes (PBHs) connected with the non-Gaussianity. In…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-12 E. V. Bugaev , P. A. Klimai

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

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…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-02 Takahiko Matsubara , Misao Sasaki

The formation of Primordial Black Holes (PBHs) through the collapse of large fluctuations in the early universe is a rare event. This manifests itself, for instance, through the non-Gaussian tail of the formation probability. To compute…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-20 V. De Luca , A. Riotto

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…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-11 Shi Pi

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

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
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