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Using the $\delta N$ formalism we calculate the one-loop correction to the large-scale power spectrum of the curvature perturbation in the standard scenario where primordial black holes are formed in the early universe thanks to a phase of…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-18 Hassan Firouzjahi , Antonio Riotto

We propose a new mechanism of primordial black hole formation via an interrupted phase transition during the early matter-dominated stage of reheating after inflation. In reheating, induced by the decay of a pressureless fluid dominating…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-28 Wen-Yuan Ai , Lucien Heurtier , Tae Hyun Jung

We present a novel \textit{gauge-invariant and minimal} formation mechanism of primordial black holes (PBHs) in first-order phase transition (FOPT) and domain walls (DW) separately. This is based on the first-order tensor perturbations,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-20 Utkarsh Kumar , Anish Ghoshal

The most widely studied formation mechanism of a primordial black hole is collapse of large-amplitude perturbation on small scales generated in single-field inflation. In this Letter, we calculate one-loop correction to the large-scale…

High Energy Physics - Theory · Physics 2024-05-30 Jason Kristiano , Jun'ichi Yokoyama

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

Certain inflationary models as well as realisations of phase transitions in the early Universe predict the formation of primordial black holes. For most mass ranges, the fraction of matter in the form of primordial black holes is limited by…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-11 Florian Kuhnel , Cornelius Rampf , Marit Sandstad

Primordial black holes are unique probes of cosmology, general relativity, quantum gravity and non standard particle physics. They can be considered as the ultimate particle accelerator in their last (explosive) moments since they are…

High Energy Astrophysical Phenomena · Physics 2015-05-13 R. Lehoucq , M. Casse , J. -M. Casandjian , I. Grenier

We show that supersymmetry and inflation, in a broad class of models, generically lead to formation of primordial black holes (PBHs) that can account for dark matter. Supersymmetry predicts a number of scalar fields that develop a coherent…

High Energy Physics - Phenomenology · Physics 2023-05-10 Marcos M. Flores , Alexander Kusenko

In this paper, we investigate the critical collapse leading to primordial black hole (PBH) formation in a universe dominated by a self-interacting scalar field with a quartic potential, comparing it to the well-known radiation-dominated…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-15 Luis E. Padilla , Ethan Milligan , David J. Mulryne , Juan Carlos Hidalgo

For primordial black holes (PBH) to be the dark matter in single-field inflation, the slow-roll approximation must be violated by at least ${\cal O}(1)$ in order to enhance the curvature power spectrum within the required number of efolds…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-08 Hayato Motohashi , Wayne Hu

The study of the primordial black hole (PBH) gravitational collapse process requires the determination of a critical energy density perturbation threshold $\delta_\mathrm{c}$, which depends on the equation of state of the universe at the…

General Relativity and Quantum Cosmology · Physics 2022-08-29 Theodoros Papanikolaou

We discuss the possibility of forming primordial black holes during a first-order phase transition in the early Universe. As is well known, such a phase transition proceeds through the formation of true-vacuum bubbles in a Universe that is…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-20 Michael J. Baker , Moritz Breitbach , Joachim Kopp , Lukas Mittnacht

The possibility that dark matter particles could be constituted by extreme regular primordial black holes is discussed. Extreme black holes have zero surface temperature, and are not subjected to the Hawking evaporation process. Assuming…

General Relativity and Quantum Cosmology · Physics 2018-05-14 José Antonio de Freitas Pacheco

This brief note presents standard computations of primordial black hole mass $M$ given perturbations of scale $k$, and their late-time abundance $\Omega_\text{PBH}$ given their initial density fraction $\beta$. I recap the assumptions made…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-20 Eemeli Tomberg

Trapped regions bounded by horizons are the defining features of black holes. However, formation of a singularity-free apparent horizon in finite time of a distant observer is consistent only with special states of geometry and matter in…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Daniel R. Terno

In a variety of mechanisms generating primordial black holes, each black hole is expected to form along with a surrounding underdense region that roughly compensates the black hole mass. This region will propagate outwards and expand as a…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Heling Deng

We present a novel model-independent generic mechanism for primordial black hole formation within the context of non-singular matter bouncing cosmology. In particular, considering a short duration transition from the matter contracting…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Theodoros Papanikolaou , Shreya Banerjee , Yi-Fu Cai , Salvatore Capozziello , Emmanuel N. Saridakis

Primordial black holes form in the early Universe and constitute one of the most viable candidates for dark matter. The study of their formation process requires the determination of a critical energy density perturbation threshold…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Theodoros Papanikolaou

Using the concept of apparent horizon for dynamical black holes, we revisit the formation of primordial black holes (PBH) in the early universe for both linear and non-linear regimes. First, we develop the perturbation theory for…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Alireza Allahyari , Javad T. Firouzjaee , Ali Akbar Abolhasani

The standard deviation of the initial values of the nondimensional Kerr parameter $a_{*}$ of primordial black holes (PBHs) formed in the radiation-dominated phase of the universe is estimated to the first order of perturbation for the…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-03 Tomohiro Harada , Chul-Moon Yoo , Kazunori Kohri , Yasutaka Koga , Takeru Monobe
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