Cosmology / Daniel Baumann, Universiteit van Amsterdam.

Format:

Book

Author/Creator:

Baumann, Daniel, 1978- author.

Language:

English

Subjects (All):

Cosmology.

cosmology.

Physical Description:

xix, 463 pages : illustrations ; 26 cm

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.

Summary:

"The author-a leading theoretical cosmologist-expands on his widely acclaimed lecture notes in this self-contained textbook, suitable for the advanced undergraduate or starting graduate level. Presenting the key theoretical foundations of cosmology and describing the observations that have turned the subject into a precision science, the author keeps the student in mind on every page by explaining concepts step-by-step, in an approachable manner. After describing the dynamics of the homogeneous universe, the book traces the evolution of small density fluctuations, which were created quantum-mechanically during inflation and are today observed in the cosmic microwave background and the large-scale structure of the universe. The book is ideally suited as a course companion or for self-study. With all necessary background material covered, students have everything they need to establish an unrivalled understanding of the subject. Complete with many worked examples, figures, and homework problems, this textbook is a definitive resource for advanced students in physics, astronomy and applied mathematics"-- Provided by publisher.

Contents:

Machine generated contents note: 1. Introduction

1.1. Scales of the Universe

1.2. The Invisible Universe

1.3. The Hot Big Bang

1.4. Growth of Structure

1.5. Cosmic Palaeontology

Further Reading

Problems

pt. I The Homogeneous Universe

2. The Expanding Universe

2.1. Geometry

2.1.1. Spacetime and Relativity

2.1.2. Symmetric Three-Spaces

2.1.3. Robertson-Walker Metric

2.2. Kinematics

2.2.1. Geodesies

2.2.2. Redshift

2.2.3. Distances*

2.3. Dynamics

2.3.1. Perfect Fluids

2.3.2. Matter and Radiation

2.3.3. Dark Energy

2.3.4. Spacetime Curvature

2.3.5. Friedmann Equations

2.3.6. Exact Solutions

2.4. Our Universe

2.5. Summary

3. The Hot Big Bang

3.1. Thermal Equilibrium

3.1.1. Some Statistical Mechanics

3.1.2. The Primordial Plasma

3.1.3. Entropy and Expansion History

3.1.4. Cosmic Neutrino Background

3.1.5. Cosmic Microwave Background

3.2. Beyond Equilibrium

3.2.1. The Boltzmann Equation

3.2.2. Dark Matter Freeze-Out

3.2.3. Baryogenesis: A Sketch*

3.2.4. Big Bang Nucleosynthesis

3.2.5. Recombination Revisited*

3.3. Summary

4. Cosmological Inflation

4.1. Problems of the Hot Big Bang

4.1.1. The Horizon Problem

4.1.2. The Flatness Problem

4.1.3. Superhorizon Correlations

4.2. Before the Hot Big Bang

4.2.1. A Shrinking Hubble Sphere

4.2.2. Horizon Problem Revisited

4.2.3. Flatness Problem Revisited

4.2.4. Superhorizon Correlations

4.2.5. Duration of Inflation

4.3. The Physics of Inflation

4.3.1. Scalar Field Dynamics

4.3.2. Slow-Roll Inflation

4.3.3. Creating the Hot Universe

4.4. Open Problems*

4.4.1. Ultraviolet Sensitivity

4.4.2. Initial Conditions

4.4.3. Eternal Inflation

4.5. Summary

pt. II The Inhomogeneous Universe

5. Structure Formation

5.1. Newtonian Perturbation Theory

5.1.1. Fluid Dynamics

5.1.2. Adding Gravity

5.1.3. Adding Expansion

5.2. Growth of Matter Perturbations

5.2.1. Jeans Instability

5.2.2. Linear Growth Function

5.2.3. Transfer Function

5.3. Statistical Properties

5.3.1. Correlation Functions

5.3.2. Gaussian Random Fields

5.3.3. Harrison

Zel'dovich Spectrum

5.3.4. Matter Power Spectrum

5.4. Nonlinear Clustering*

5.4.1. Spherical Collapse

5.4.2. Virialization and Halos

5.4.3. A Bound on Lambda

5.4.4. Press

Schechter Theory

5.5. Summary

6. Relativistic Perturbation Theory

6.1. Linear Perturbations

6.1.1. Metric Perturbations

6.1.2. Matter Perturbations

6.1.3. Conservation Equations

6.1.4. Einstein Equations

6.2. Initial Conditions

6.2.1. Superhorizon Limit

6.2.2. Adiabatic Perturbations

6.2.3. Isocurvature Perturbations*

6.2.4. Curvature Perturbations

6.2.5. Primordial Power Spectrum

6.3. Growth of Matter Perturbations

6.3.1. Evolution of the Potential

6.3.2. Clustering of Dark Matter

6.3.3. Matter Power Spectrum

6.4. Evolution of Photons and Baryons

6.4.1. Radiation Fluctuations

6.4.2. Photon-Baryon Fluid

6.4.3. Cosmic Sound Waves

6.5. Gravitational Waves

6.6. Summary

7. Cosmic Microwave Background

7.1. Anisotropies in the First Light

7.1.1. Angular Power Spectrum

7.1.2. A Road Map

7.2. Photons in a Clumpy Universe

7.2.1. Gravitational Redshift

7.2.2. Line-of-Sight Solution

7.2.3. Fluctuations at Last-Scattering

7.3. Anisotropies from Inhomogeneities

7.3.1. Spatial-to-Angular Projection

7.3.2. Large Scales: Sachs-Wolfe Effect

7.3.3. Small Scales: Sound Waves

7.4. Primordial Sound Waves

7.4.1. Photon

Baryon Dynamics

7.4.2. High-Frequency Solution

7.4.3. Semi-Analytic Solution*

7.4.4. Small-Scale Damping

7.4.5. Summary of Results

7.5. Understanding the Power Spectrum

7.5.1. Peak Locations

7.5.2. Peak Heights

7.5.3. LCDM Cosmology

7.5.4. Beyond LCDM

7.6. A Glimpse at CMB Polarization*

7.6.1. Polarization from Scattering

7.6.2. Statistics of CMB Polarization

7.6.3. Visualizing E- and B-modes

7.6.4. E-modes from Scalars

7.6.5. B-modes from Tensors

7.7. Summary

8. Quantum Initial Conditions

8.1. Inflationary Perturbations

8.1.1. Equation of Motion

8.1.2. From Micro to Macro

8.2. Quantum Fluctuations

8.2.1. Quantum Harmonic Oscillators

8.2.2. Inflationary Vacuum Fluctuations

8.3. Primordial Power Spectra

8.3.1. Curvature Perturbations

8.3.2. Gravitational Waves

8.3.3. Slow-Roll Predictions

8.4. Observational Constraints*

8.4.1. Current Results

8.4.2. Future Tests

8.5. Summary

9. Outlook

Appendices

Appendix A Elements of General Relativity

A.1. Spacetime and Relativity

A.2. Gravity Is Geometry

A.3. Motion in Curved Spacetime

A.4. The Einstein Equation

A.5. Summary

Appendix B Details of the CMB Analysis

B.1. Boltzmann Equation

B.2. Free Streaming and Projection

B.3. Evolution Before Decoupling

B.4. CMB Polarization

Appendix C Useful Quantities and Relations

C.1. Units and Conversions

C.2. Constants and Parameters

C.3. Important Relations

Appendix D Special Functions

D.1. Fourier Transforms

D.2. Spherical Harmonics

D.3. Legendre Polynomials

D.4. Spherical Bessel Functions

D.5. Bessel and Hankel Functions

D.6. Gamma and Zeta Functions.

Notes:

Includes bibliographical references and index.

Other Format:

ebook version :

ISBN:

9781108838078

1108838073

OCLC:

1289478789