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We give a pedagogical review of a covariant and fully non-perturbative approach to study nonlinear perturbations in cosmology. In the first part, devoted to cosmological fluids, we define a nonlinear extension of the uniform-density…

宇宙学与河外天体物理 · 物理学 2015-05-18 David Langlois , Filippo Vernizzi

The present article analyses the impact on cosmology, in particular on the evolution of cosmological perturbations, of the existence of extra-dimensions. The model considered here is that of a five-dimensional Anti-de Sitter spacetime where…

高能物理 - 理论 · 物理学 2009-10-31 David Langlois

Cosmological perturbations due to statistical thermal fluctuations in a single fluid characterized by an arbitrary equation of state are computed. Formulas to predict the scalar and tensor perturbation spectra and nongaussianity parameters…

宇宙学与河外天体物理 · 物理学 2013-08-09 Tirthabir Biswas , Robert Brandenberger , Tomi Koivisto , Anupam Mazumdar

Topological defects are ubiquitous in condensed-matter physics but only hypothetical in the early universe. In spite of this, even an indirect evidence for one of these cosmic objects would revolutionize our vision of the cosmos. We give…

天体物理学 · 物理学 2007-05-23 Alejandro Gangui

We explain in detail the quantum-to-classical transition for the cosmological perturbations using only the standard rules of quantum mechanics: the Schrodinger equation and Born's rule applied to a subsystem. We show that the conditioned,…

广义相对论与量子宇宙学 · 物理学 2018-09-05 Timothy J. Hollowood

We give a concise, self-contained introduction to perturbation theory in cosmology at linear and second order, striking a balance between mathematical rigour and usability. In particular we discuss gauge issues and the active and passive…

天体物理学 · 物理学 2009-06-23 Karim A. Malik , David R. Matravers

We consider the evolution of perturbed cosmological spacetime with multiple fluids and fields in Einstein gravity. Equations are presented in gauge-ready forms, and are presented in various forms using the curvature (\Phi or \phi_\chi) and…

天体物理学 · 物理学 2010-05-28 J. Hwang , H. Noh

The notion of vacuum fluctuations of the gravitational field plays important role in cosmology. The strong variable gravitational field of the very early Universe amplifies these fluctuations and transforms them into macroscopical…

广义相对论与量子宇宙学 · 物理学 2007-05-23 L. P. Grishchuk

The particle production process is reviewed, through which cosmic inflation can produce a scale invariant superhorizon spectrum of perturbations of suitable fields starting from their quantum fluctuations. Afterwards, in the context of the…

宇宙学与河外天体物理 · 物理学 2011-03-28 Konstantinos Dimopoulos

Cosmological perturbations are generally described by quantum fields on (curved but) classical space-times. While this strategy has a large domain of validity, it can not be justified in the quantum gravity era where curvature and matter…

广义相对论与量子宇宙学 · 物理学 2015-06-12 Ivan Agullo , Abhay Ashtekar , William Nelson

We define fully non-perturbative generalizations of the uniform density and comoving curvature perturbations, which are known, in the linear theory, to be conserved on sufficiently large scales for adiabatic perturbations. Our non-linear…

天体物理学 · 物理学 2009-11-10 David Langlois , Filippo Vernizzi

In recent years there has been a lot of interest in discussing frame dependences/independences of the cosmological perturbations under the conformal transformations. This problem has previously been investigated in terms of the covariant…

广义相对论与量子宇宙学 · 物理学 2018-03-14 Yunlong Zheng , Yicen Mou , Haomin Rao , Mingzhe Li

It is shown how cosmological perturbation theory arises from a fully quantized perturbative theory of quantum gravity. Central for the derivation is a non-perturbative concept of gauge-invariant local observables by means of which…

广义相对论与量子宇宙学 · 物理学 2016-08-24 Romeo Brunetti , Klaus Fredenhagen , Thomas-Paul Hack , Nicola Pinamonti , Katarzyna Rejzner

We study the differential forms over the frame bundle of the based loop space. They are stochastics in the sense that we put over this frame bundle a probability measure. In order to understand the curvatures phenomena which appear when we…

数学物理 · 物理学 2015-06-26 Rémi Léandre

We compute the spectral distribution of the quantum fluctuations of the vacuum, amplified by inflation, after an arbitrary number of background transitions. Using a graphic representation of the process we find that the final spectrum can…

广义相对论与量子宇宙学 · 物理学 2009-11-07 G. De Risi , M. Gasperini

A manifestly covariant equation is derived to describe the second order perturbations in topological defects and membranes on arbitrary curved background spacetimes. This, on one hand, generalizes work on macroscopic strings in Minkowski…

高能物理 - 理论 · 物理学 2019-01-07 V. Kiosses , A. Nicolaidis

We consider scalar perturbations of energy-density for a class of cosmological models where an early phase of accelerated expansion evolves, without any fine-tuning for graceful exit, towards the standard Friedman eras of observed universe.…

广义相对论与量子宇宙学 · 物理学 2011-05-10 S. Capozziello , G. Lambiase , G. Scarpetta

We study the properties of cosmological density perturbations in a multi-component system consisting of a scalar field and a perfect fluid. We discuss the number of degrees of freedom completely describing the system, introduce a full set…

天体物理学 · 物理学 2009-11-10 Nicola Bartolo , Pier-Stefano Corasaniti , Andrew R. Liddle , Michaël Malquarti

We present an explicit formulation of cosmological perturbation theory for three-field models with a flat field space. By performing rotations to align one field with the direction of curvature perturbations and applying the same rotations…

高能物理 - 理论 · 物理学 2026-01-28 Amjad Ashoorioon , Shinji Mukohyama , Kazem Rezazadeh , Navid Talebizadeh

Topological defects, in particular cosmic strings, give rise to an interesting mechanism for generating the primordial perturbations in the early Universe which are required to explain the present structure. An overview of the cosmic string…

天体物理学 · 物理学 2016-01-27 Robert H. Brandenberger