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We study the formation of primordial black holes (PBH) with ultra-slow-roll inflation when stochastic effects are important. We use the $\Delta N$ formalism and simplify the stochastic equations with an analytical constant-roll…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-19 Sami Raatikainen , Syksy Rasanen , Eemeli Tomberg

We study the impact of stochastic noise on the generation of primordial black hole (PBH) seeds in ultra-slow-roll (USR) inflation with numerical simulations. We consider the non-linearity of the system by consistently taking into account…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-22 Daniel G. Figueroa , Sami Raatikainen , Syksy Rasanen , Eemeli Tomberg

Stochastic inflation resolves primordial perturbations non-linearly, probing their probability distribution deep into its non-Gaussian tail. The strongest perturbations collapse into primordial black holes. In typical black-hole-producing…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-07 Eemeli Tomberg

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) may form in the early Universe, from the gravitational collapse of large density perturbations, generated by large quantum fluctuations during inflation. Since PBHs form from rare over-densities, their…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-23 Swagat S. Mishra , Edmund J. Copeland , Anne M. Green

We study the generation of primordial black holes (PBH) in a single field inflection point model of inflation wherein the effective potential is expanded up to the sextic order and the inversion symmetry is imposed such that only even…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-20 Nilanjandev Bhaumik , Rajeev Kumar Jain

We introduce a modification of the Press-Schechter formalism aimed to derive general mass functions for primordial black holes (PBHs). In this case, we start from primordial power spectra (PPS) which include a monochromatic spike, typical…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-08 Juan Magaña , Marco San Martín , Joaquín Sureda , Marcelo E. Rubio , Ignacio J. Araya , Nelson D. Padilla

We consider the formation of primordial black holes (PBHs), during the radiation-dominated Universe, generated from the collapse of super-horizon curvature fluctuations that are overlapped with others on larger scales. Using a set of…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Albert Escrivà , Chul-Moon Yoo

The recent discovery of critical phenomena arising in gravitational collapse near the threshold of black hole formation is used to estimate the initial mass function of primordial black holes (PBHs). It is argued that the universal scaling…

Astrophysics · Physics 2008-11-26 J. C. Niemeyer , K. Jedamzik

We discuss a novel window to probe the origin of our universe via the mass functions of primordial black holes (PBHs). The mass functions of PBHs are simply estimated using the conventional Press-Schechter formalism for two paradigms of…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-11 Yi-Fu Cai , Chengfeng Tang , Geyu Mo , Sheng-Feng Yan , Chao Chen , Xiao-Han Ma , Bo Wang , Wentao Luo , Damien Easson , Antonino Marciano

The primordial black hole (PBH) abundance evaluated by the conventional Press-Schechter (PS) probability distribution is shown to be equivalent to the high-peak limit of a special point-like peak statistics via unphysical dimensionality…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-03 Yi-Peng Wu

We simulate numerically the formation of spherically symmetric primordial black holes (PBHs) seeded by different families of primordial curvature perturbations profiles on a Friedman-Robertson-Walker (FRW) Universe filled by radiation…

General Relativity and Quantum Cosmology · Physics 2021-06-01 Albert Escrivà , Antonio Enea Romano

Primordial black holes (PBHs) are mainly characterized by their mass function, in which there may be some huge suppression for certain mass spans. If this is the case, the absence of these PBHs will form mass gaps. In this paper, we…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-15 Xiao-Ming Bi , Lu Chen , Ke Wang

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

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

During inflation, vacuum quantum fluctuations are amplified and stretched to astrophysical distances. They give rise to fluctuations in the cosmic microwave background (CMB) temperature and polarisation, and to large-scale structures in our…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-03 Vincent Vennin

The mass distribution of Primordial Black Holes (PBHs) is affected by drops in the pressure of the early Universe plasma. For example, events in the standard model of particle physics, such as the $W^\pm/Z^0$ decoupling, the quark-hadron…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-15 Matteo Braglia , Juan Garcia-Bellido , Sachiko Kuroyanagi

We reconsider in this work the effects of an energy absorption term in the evolution of primordial black holes (hereafter PBHs) in the several epochs of the Universe. A critical mass is introduced as a boundary between the accreting and…

Astrophysics · Physics 2009-10-30 P. S. Custodio , J. E. Horvath

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

An accurate calculation of their abundance is crucial for numerous aspects of cosmology related to primordial black holes (PBHs). For example, placing constraints on the primordial power spectrum from constraints on the abundance of PBHs…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-03 Sam Young
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