Introduction to the theory of the early universe : cosmological perturbations and inflationary theory
Title:
Introduction to the theory of the early universe : cosmological perturbations and inflationary theory
Author:
Gorbunov, Dmitry S.
ISBN:
9789814322232
9781283148528
Personal Author:
Publication Information:
Singapore ; Hackensack, N.J. : World Scientific, ©2011.
Physical Description:
1 online resource (xiii, 489 pages) : illustrations
Contents:
1. Jeans instability in Newtonian gravity. 1.1. Jeans instability in static background. 1.2. Development of instability in expanding universe. 1.3. Linear sizes of perturbations and masses of objects -- 2. Cosmological perturbations in general relativity. Equations of linearized theory. 2.1. Background metric. 2.2. Generalities. 2.3. Equations in helicity sectors. 2.4. Regimes of evolution. 2.5. Scalar field condensate as dark matter -- 3. Evolution of vector and tensor perturbations. 3.1. Vector modes. 3.2. Tensor modes : Relic gravity waves -- 4. Scalar perturbations : Single-component fluids. 4.1. Master equation. 4.2. Relativistic matter. 4.3. Non-relativistic matter. 4.4. Matter perturbations at [symbol] domination -- 5. Primordial perturbations in real universe. 5.1. Adiabatic and isocurvature modes. 5.2. Adiabatic mode in superhorizon regime. 5.3. Initial data for isocurvature modes. 5.4. Primordial spectra : Results from observations. 5.5. Evolution of adiabatic perturbations : A preview -- 6. Scalar perturbations before recombination. 6.1. Adiabatic modes of large wavelengths. 6.2. Adiabatic modes entering the sound horizon at radiation domination. 6.3. Adiabatic perturbations of intermediate momenta. 6.4. CDM isocurvature perturbations. 6.5. Baryon isocurvature perturbations -- 7. Structure formation. 7.1. Matter perturbations after recombination : Linear regime. 7.2. Beginning of non-linear regime.
Abstract:
This book accompanies another book by the same authors, "Introduction to the Theory of the Early Universe: Hot Big Bang Theory" and presents the theory of the evolution of density perturbations and relic gravity waves, theory of cosmological inflation and post-inflationary reheating. Written in a pedagogical style, the main chapters give a detailed account of the established theory, with derivation of formulas. Being self-contained, it is a useful textbook for advanced undergraduate students and graduate students. Essential materials from General Relativity, theory of Gaussian random.
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