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The merger rate of primordial black holes depends on their initial clustering. In the absence of primordial non-Gaussianity correlating short and large-scales, primordial black holes are distributed \`a la Poisson at the time of their…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-22 V. De Luca , G. Franciolini , A. Riotto

In the presence of the local-type primordial non-Gaussianity, it is known that the clustering of primordial black holes (PBHs) emerges even on super-horizon scales at the formation time. This effect has been investigated in the high-peak…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-03 Takahiko Matsubara , Takahiro Terada , Kazunori Kohri , Shuichiro Yokoyama

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

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

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

Primordial black holes (PBHs) have been brought back into the spotlight by LIGO's first direct detection of a binary-black-hole merger. One of the poorly understood properties of PBHs is how clustered they are at formation. It has important…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-28 Yacine Ali-Haïmoud

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

We formulate the two-point correlation function of primordial black holes (PBHs) at their formation time, based on the functional integration approach which has often been used in the context of halo clustering. We find that PBH clustering…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-11 Teruaki Suyama , Shuichiro Yokoyama

We show that the effect of initial non-Gaussian clustering can significantly enhance the event rate for primordial black hole (PBH) coalescence. The impact of such clustering is studied in a specific scenario of multi-stream inflation.…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-25 Qianhang Ding , Tomohiro Nakama , Joseph Silk , Yi Wang

One of the seemingly strongest constraints on the fraction of dark matter in the form of primordial black holes (PBH) of ${\cal O}$(10)$\,M_\odot$ relies on the merger rate inferred from the binary BH merger events detected by LIGO/Virgo.…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-31 Guillermo Ballesteros , Pasquale D. Serpico , Marco Taoso

Primordial black holes (PBHs) are black holes which may have formed very early on during the radiation dominated era in the early universe. We present here a method by which the large scale perturbations in the density of primordial black…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-06 Sam Young , Christian T. Byrnes

Primordial black hole (PBH) binaries experience strong gravitational perturbations in the case of their initial clustering, which significantly affects the dynamics of their mergers. In this work, we develop a new formalism to account for…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-09 Viktor Stasenko

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

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

Ultra-light primordial black holes (PBHs) with masses $M_{\rm PBH}<5\times 10^8\mathrm{g}$ can dominate transiently the energy budget of the Universe and reheat the Universe through their evaporation taking place before Big Bang…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-17 Xin-Chen He , Yi-Fu Cai , Xiao-Han Ma , Theodoros Papanikolaou , Emmanuel N. Saridakis , Misao Sasaki

Stellar microlensing observations tightly constrain compact object dark matter in the mass range $(10^{-11} - 10^{3}) M_{\odot}$. Primordial Black Holes (PBHs) form clusters, and it has been argued that these microlensing constraints are…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-31 Matthew Gorton , Anne M. Green

We present a non-perturbative method for calculating the abundance of primordial black holes given an arbitrary one-point probability distribution function for the primordial curvature perturbation, $P(\zeta)$. A non-perturbative method is…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-01 Andrew D. Gow , Hooshyar Assadullahi , Joseph H. P. Jackson , Kazuya Koyama , Vincent Vennin , David Wands

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

We discuss the effect of clustering for the determination of the merger rate of binary black holes in the LIGO mass range. While for a Poissonian initial distribution, and assuming isolated binaries, the allowed fraction of Primordial Black…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-15 Vicente Atal , Albert Sanglas , Nikolaos Triantafyllou

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
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