Introduction to the theory of the early unvierse: cosmological perturbations and inflationary theory

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 Fields And Quantum Field Theory Are Collected In The Appendices. The More Advanced Topics Are Approached Similarly In A Pedagogical Way. These Parts May Serve As A Detailed Introduction To Current Research. 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. 8. Beyond Ideal Fluid Approximation. 8.1. Distribution Functions And Boltzmann Equation In Curved Space-time. 8.2. General Equations For Scalar Perturbations. 8.3. Warm Dark Matter. 8.4. Neutrino Free Streaming. 8.5. Photons And Baryons At Recombination Epoch -- 9. Temperature Of Cosmic Microwave Background. 9.1. Cmb Temperature Anisotropy. 9.2. Temperature Anisotropy In Instant Photon Decoupling Approximation. 9.3. Small Angular Scales. 9.4. Anisotropy Spectrum And Cosmological Parameters. 9.5. Temperature Anisotropy Generated By Isocurvature Modes -- 10. Cmb Polarization. 10.1. Sources Of Cmb Polarization. 10.2. Polarization Tensor. E- And B-modes. 10.3. Generation Of Cmb Polarization. 10.4. Discussion -- 11. Drawbacks Of The Hot Big Bang Theory. Inflation As Possible Way Out. 11.1. Drawbacks Of The Hot Big Bang Theory. 11.2. Inflation : The Basic Idea -- 12. Inflation In Slow Roll Regime. 12.1. Slow Roll Conditions. 12.2. Inflationary Models -- 13. Generation Of Cosmological Perturbations At Inflation. 13.1. Simplified Analysis : Inflaton Fluctuations. 13.2. Scalar Perturbations In Full Linear Theory. 13.3. Tensor Perturbations. 13.4. Amplitudes And Tilts Of Power Spectra. 13.5. Discussion -- 14. Further Aspects Of Inflationary Theory. 14.1. Eternal Inflation. 14.2. Generation Of Scalar Perturbations By Curvaton Mechanism. 14.3. Light Scalar Field In Inflating Universe. 14.4. Axion As Dark Matter Candidate : Cdm Isocurvature Mode -- 15. Preheating After Inflation. 15.1. Inflaton Decay In Weakly Coupled Models. 15.2. Inflaton Decay In A Model With Quadratic Potential. 15.3. Peculiarities Of [symbol]. 15.4. Creation Of Heavy Fermions. 15.5. Physics Applications -- 16. Bouncing Universe. 17. Color Pages. Dmitry S Gorbunov, Valery A Rubakov. Includes Index Includes Bibliographical References (p. 479-485) And Index.