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It has been recently established that, if the nonlinear relationship between the overdensity perturbations and the curvature perturbations are taken into account, non-Gaussianity is introduced in the overdensity statistics which alters the…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-05 Rafid Mahbub

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

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 investigate the production of primordial black holes (PBHs) in a mixed inflaton-curvaton scenario with a quadratic curvaton potential, assuming the curvaton is in de Sitter equilibrium during inflation with $\langle \chi\rangle =0$. In…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-08 Andrew D. Gow , Tays Miranda , Sami Nurmi

Enormous information about interactions is contained in the non-Gaussianities of the primordial curvature perturbations, which are essential to break the degeneracy of inflationary models. We study the primordial bispectra for G-inflation…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-21 Fengge Zhang , Yungui Gong , Jiong Lin , Yizhou Lu , Zhu Yi

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) cannot be produced abundantly enough to be the dark matter in canonical single-field inflation under slow roll. This conclusion is robust to local non-Gaussian correlations between long- and short-wavelength…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-27 Samuel Passaglia , Wayne Hu , Hayato Motohashi

The curvature perturbations produced during an early era of inflation are known to have quasi-Gaussian distribution functions close to their maximum, where they are well constrained by measurements of the cosmic microwave background…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-08 Jose María Ezquiaga , Juan García-Bellido , Vincent Vennin

Chaotic inflation is inconsistent with the observational constraint at 68\% CL. Here, we show that the enhancement mechanism with a peak function in the noncanonical kinetic term not only helps the chaotic model $V(\phi)=V_0\phi^{1/3}$…

General Relativity and Quantum Cosmology · Physics 2021-06-29 Qing Gao

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 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

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

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

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…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-26 Sam Young

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 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…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-08 Guillermo Ballesteros , Jesús Gambín Egea , Thomas Konstandin , Alejandro Pérez Rodríguez , Mathias Pierre , Julián Rey

In this thesis, the effect of non-Gaussianity upon the abundance of primordial black holes (PBHs), and the implications of such an effect are considered. It is shown that even small non-Gaussianity parameters can have a large effect on the…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-29 Sam Young

Non-Gaussianity in the primordial curvature perturbation is a crucial element of the early universe due to its significant impact on the primordial black hole (PBH) production. In this work, we focus on the effects of negative…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-08 Sayantan Choudhury , Kritartha Dey , Siddhant Ganguly , Ahaskar Karde , Swapnil Kumar Singh , Pranjal Tiwari

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 the simple inflationary model with peculiarity in the form of "plateau" in the inflaton potential. We use the formalism of coarse-grained field to describe the production of metric perturbations $h$ of an arbitrary amplitude and…

Astrophysics · Physics 2009-10-30 P. Ivanov