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Inflation and Cosmological Perturbations
Langlois D.
Dans Lectures on Cosmology Accelerated Expansion of the Universe, Georg Wolschin (Ed.) (2010) 1-57 - http://hal.archives-ouvertes.fr/hal-00716145
Physique/Relativité Générale et Cosmologie Quantique
Physique/Physique des Hautes Energies - Théorie
Inflation and Cosmological Perturbations
D. Langlois1, 2
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
2 :  IAP - Institut d'Astrophysique de Paris
CNRS : UMR7095 – INSU – Université Pierre et Marie Curie (UPMC) - Paris VI
98bis, bd Arago - 75014 Paris France
The purpose of these lectures is to give a pedagogical introduction to inflation and the production of primordial perturbations, as well as a review of some of the latest developments in this domain. After a short introduction, we review the main principles of the Hot Big Bang model, as well as its limitations. This motivates the study of cosmological inflation induced by a slow-rolling scalar field. We then turn to the analysis of cosmological perturbations, and explain how the vacuum quantum fluctuations are amplified during an inflationary phase. The next step consists in relating the perturbations generated during inflation to the perturbations of the cosmological fluid in the radiation dominated phase. The final part of these lectures gives a review of more general models of inflation, involving multiple fields or non standard kinetic terms. Although more complicated, these models are usually motivated by high energy physics and they can lead to specific signatures that are not expected in the simplest models of inflation. After introducing a very general formalism to describe perturbations in multi-field models with arbitrary kinetic terms, several interesting cases are presented. We also stress the role of entropy perturbations in the context of multi-field models. Finally, we discuss in detail the non-Gaussianities of the primordial perturbations and some models that could produce a detectable level of non-Gaussianities.

Lectures on Cosmology Accelerated Expansion of the Universe
Springer Berlin / Heidelberg
Chapitres d'ouvrages scientifiques
Georg Wolschin
Lecture Notes in Physics, vol. 800

56 pages, 5 figures; Lectures given at the Second TRR33 Winter School on cosmology, Passo del Tonale (Italy), December 2008

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