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This article discusses density perturbations in inflationary models, offering a pedagogical description of how these perturbations are generated by quantum fluctuations in the early universe. A key feature of inflation is that that rapid…

High Energy Physics - Theory · Physics 2014-01-15 Alan H. Guth

During the inflationary phase of the early universe, quantum fluctuations in the vacuum generate particles as they stretch beyond the Hubble length. These fluctuations are thought to result in the density fluctuations and gravitational…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jeremy S. Heyl

Primordial black holes as dark matter may be generated in single-field models of inflation thanks to the enhancement at small scales of the comoving curvature perturbation. This mechanism requires leaving the slow-roll phase to enter a…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-26 Matteo Biagetti , Gabriele Franciolini , Alex Kehagias , Antonio Riotto

We present a novel mechanism to generate the cosmic perturbation from evaporation of primordial black holes. A mass of a field is fluctuated if it is given by a vacuum expectation value of a light scalar field because of the quantum…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-18 Tomohiro Fujita , Keisuke Harigaya , Masahiro Kawasaki

This thesis is dedicated to studying cosmological inflation, which is a period of accelerated expansion in the very early Universe that is required to explain the observed anisotropies in the cosmic microwave background. Inflation, when…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-02 Chris Pattison

We study how large fluctuations are spatially correlated in the presence of quantum diffusion during inflation. This is done by computing real-space correlation functions in the stochastic-$\delta N$ formalism. We first derive an exact…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-29 Chiara Animali , Vincent Vennin

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

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

The local primordial density fluctuations caused by quantum vacuum fluctuations during inflation grow into stars and galaxies in the late universe and, if they are large enough, also produce primordial black holes. We study the formation of…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Neven Bilić , Dragoljub D. Dimitrijević , Goran S. Djordjevic , Milan Milošević , Marko Stojanović

The theory of cosmological perturbations has become a cornerstone of modern quantitative cosmology since it is the framework which provides the link between the models of the very early Universe such as the inflationary Universe scenario…

High Energy Physics - Theory · Physics 2017-08-23 Robert H. Brandenberger

We speculate that the early Universe was inside a primordial black hole. The interior of the the black hole is a dS background and the two spacetimes are separated on the surface of black hole's event horizon. We argue that this picture…

High Energy Physics - Theory · Physics 2016-10-13 Hassan Firouzjahi

We clarify the way in which cosmological perturbations of quantum origin, produced during inflation, assume classical properties. Two features play an important role in this process: First, the dynamics of fluctuations which are presently…

General Relativity and Quantum Cosmology · Physics 2016-10-26 C. Kiefer , D. Polarski

We calculate the full probability density function (PDF) of inflationary curvature perturbations, even in the presence of large quantum backreaction. Making use of the stochastic-$\delta N$ formalism, two complementary methods are…

High Energy Physics - Theory · Physics 2020-09-16 Chris Pattison , Vincent Vennin , Hooshyar Assadullahi , David Wands

A recent variant of the inflationary paradigm is that the ``primordial'' curvature perturbations come from quantum fluctuations of a scalar field, subdominant and effectively massless during inflation, called the ``curvaton'', instead of…

Astrophysics · Physics 2009-11-10 David Langlois , Filippo Vernizzi

We study the generation of a localized peak in the primordial spectrum of curvature perturbations from a transient dissipative phase during inflation, leading to a large population of primordial black holes. The enhancement of the power…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-16 Guillermo Ballesteros , Marcos A. G. García , Alejandro Pérez Rodríguez , Mathias Pierre , Julián Rey

The theory of cosmological fluctuations assumes that the pre-inflationary state of the universe was the quantum vacuum of a scalar field(s) coupled to gravity. The observed cosmic microwave background fluctuations are then interpreted as…

High Energy Physics - Theory · Physics 2016-05-03 S. P. de Alwis

These lectures are intended to give a pedagogical introduction to the main current picture of the very early universe. After elementary reviews of general relativity and of the standard Big Bang model, the following subjects are discussed:…

High Energy Physics - Theory · Physics 2007-05-23 David Langlois

The effect of large quantum fluctuations on primordial black-hole formation during an inflationary phase along a plateau is investigated. By using techniques of stochastic inflation in combination with replica field theory and the…

General Relativity and Quantum Cosmology · Physics 2019-12-06 Florian Kuhnel , Katherine Freese

The scale--independence of the primordial curvature perturbation suggests that it comes from the vacuum fluctuation during inflation of a light scalar field. This field may be the inflaton, or a different `curvaton' field. The observation…

High Energy Physics - Phenomenology · Physics 2007-05-23 David H. Lyth

We examine from first principles one of the basic assumptions of modern quantum theories of structure formation in the early universe, i.e., the conditions upon which fluctuations of a quantum field may transmute into classical stochastic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Calzetta , B. L. Hu
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