Cosmological Perturbation Theory
Patrick Peter (IAP - France)

TL;DR
This paper provides a pedagogical overview of cosmological perturbation theory, covering background, gauge issues, tensor modes, density fluctuations, and quantum initial conditions, aimed at students and researchers in cosmology.
Contribution
It offers a comprehensive, accessible introduction to key concepts and mathematical tools in cosmological perturbation theory, including recent developments and pedagogical explanations.
Findings
Clarifies gauge issues and SVT decomposition.
Explains the role of quantum vacuum fluctuations in initial conditions.
Details the calculation of transfer functions and power spectra.
Abstract
A short pedagogical overview of cosmological perturbation theory, following the lectures given during the brazilian school of cosmology held in August 2012. Topics treated are: I. The background II. SVT decomposition and the gauge issue. III. The example of the tensor modes. IV. Density fluctuations, transfer function and power spectrum. V. Initial condition theory: quantum vacuum fluctuations.
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Taxonomy
TopicsRelativity and Gravitational Theory · Advanced Mathematical Theories and Applications · Quantum and Classical Electrodynamics
