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The classical Bekenstein entropy of a black hole is argued to arise from configurations of strings with ends which are frozen on the horizon. Quantum corrections to this entropy are probably finite unlike the case in quantum field theory.…

High Energy Physics - Theory · Physics 2008-02-03 Leonard Susskind

We calculate the constraints on the primordial curvature perturbation at the end of inflation from the present day abundance of Primordial Black Holes (PBHs), as a function of the reheat temperature T_{\rm RH}. We first extend recent work…

Astrophysics · Physics 2009-11-11 Ignacio Zaballa , Anne M. Green , Karim A. Malik , Misao Sasaki

Primordial black hole formation by cosmic string collapse is reconsidered when the winding number of the string is larger than the unity. The line energy density of the multiple winding string becomes greater than that of the single winding…

Astrophysics · Physics 2007-05-23 Nagasawa Michiyasu

Primordial black holes (PBHs) can form in the early Universe via the collapse of large density perturbations. There are tight constraints on the abundance of PBHs formed due to their gravitational effects and the consequences of their…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-30 Amandeep S. Josan , Anne M. Green , Karim A. Malik

We investigate the formation of primordial black holes in curvaton models of inflation, where the curvature perturbation is not only generated by the inflaton but also by a light scalar field (the curvaton) that decays after inflation.…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-21 Tomotaka Kuroda , Atsushi Naruko , Vincent Vennin , Masahide Yamaguchi

We review the non-linear statistics of Primordial Black Holes that form from the collapse of over-densities in a radiation dominated Universe. We focus on the scenario in which large over-densities are generated by rare and Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-15 Cristiano Germani , Ravi K. Sheth

Primordial black hole (PBH) abundance limits constrain the primordial power spectrum, and hence models of inflation, on scales far smaller than those probed by cosmological observations. Single field inflation models which are compatible…

High Energy Physics - Phenomenology · Physics 2014-11-20 Amandeep S. Josan , Anne M. Green

We show that the abundance of primordial black holes, if formed through the collapse of large fluctuations generated during inflation and unless the power spectrum of the curvature perturbation is very peaked, is always dominated by the…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-01 A. Ianniccari , A. J. Iovino , A. Kehagias , D. Perrone , A. Riotto

We show that resonant processes during multi-field inflation can generate a large curvature perturbation on small scales. This perturbation naturally leads to the formation of primordial black holes that may constitute dark matter, as well…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-05 Yuma S. Furuta , Mindaugas Karčiauskas , Kazunori Kohri , Alejandro Sáez

A standard scenario to form primordial black holes in the early universe is based on a phase of ultra-slow-roll in single-field inflation when the amplitude of the short scale modes is enhanced compared to the CMB plateau. Based on general…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-03 Antonio Riotto

We develop the general formalism for joining, splitting and interconnection of closed and open strings. As an application, we study examples of fundamental cosmic string collisions leading to gravitational collapse. We find that the…

High Energy Physics - Theory · Physics 2009-11-11 R. Iengo , J. Russo

It has been shown that black holes would have formed in the early Universe if, on any given scale, the spectral amplitude of the Cosmic Microwave Background (CMB) exceeds 10^(-4). This value is within the bounds allowed by astrophysical…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-24 Laila Alabidi , Kazunori Kohri

After the end of inflation, the inflaton field oscillates around a local minimum of its potential and decays into ordinary matter. These oscillations trigger a resonant instability for cosmological perturbations with wavelengths that exit…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 Jerome Martin , Theodoros Papanikolaou , Vincent Vennin

In response to a recent criticism, appeared in arXiv:2303.00341, we argue that the standard scenario to form primordial black holes in the early universe based on a phase of ultra-slow-roll in single-field inflation is not ruled out.

Cosmology and Nongalactic Astrophysics · Physics 2023-03-06 A. Riotto

We discuss the possibility of producing a significant fraction of dark matter in the form of primordial black holes in the context of the pre-big bang inflationary scenario. We take into account, to this purpose, the enhancement of…

General Relativity and Quantum Cosmology · Physics 2020-08-19 P. Conzinu , M. Gasperini , G. Marozzi

Previous authors have calculated the mass function of primordial black holes only on scales which are well outside the horizon at the end of inflation. Here we extend the calculation to sub-horizon scales, on which the density perturbation…

Astrophysics · Physics 2009-11-11 David. H Lyth , Karim A. Malik , Misao Sasaki , Ignacio Zaballa

We investigate a new mechanism to create large curvature perturbations on small scales due to parameter resonance in a single-field inflationary model with a small periodic structure upon the potential. After reentering the horizon, the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Rong-Gen Cai , Zong-Kuan Guo , Jing Liu , Lang Liu , Xing-Yu Yang

Black holes came into existence together with the universe through the quantum process of pair creation in the inflationary era. We present the instantons responsible for this process and calculate the pair creation rate from the no…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Raphael Bousso , Stephen W. Hawking

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

During slow-roll inflation, non-perturbative transitions can produce bubbles of metastable vacuum. These bubbles expand exponentially during inflation to super-horizon size, and later collapse into black holes when the expansion of the…

High Energy Physics - Theory · Physics 2023-11-21 Matthew Kleban , Cameron E. Norton