
Cosmology
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Content
- Intro
- CONTENTS
- 1 THE EXPANSION OF THE UNIVERSE
- 1.1 Spacetime geometry
- 1.2 The cosmological redshift
- 1.3 Distances at small redshift: The Hubble constant
- Trigonometric parallax
- Proper motions
- Apparent luminosity: Main sequence, red clump stars, RR Lyrae stars, eclipsing binaries, Cepheid variables
- Tully-Fisher relation
- Faber-Jackson relation
- Fundamental Plane
- Type Ia supernovae
- Surface brightness fluctuations
- 1.4 Luminosity distances and angular diameter distances
- 1.5 Dynamics of expansion
- 1.6 Distances at large redshifts: Accelerated expansion
- 1.7 Cosmic expansion or tired light?
- 1.8 Ages
- Heavy element abundance
- Main sequence turn-off
- 1.9 Masses
- Virialized clusters of galaxies: O[sub(M)]
- X-ray luminosity of clusters of galaxies: O[sub(B)]/O[sub(M)]
- 1.10 Intergalactic absorption
- 1.11 Number counts
- 1.12 Quintessence
- 1.13 Horizons
- 2 THE COSMIC MICROWAVE RADIATION BACKGROUND
- 2.1 Expectations and discovery of the microwave background
- 2.2 The equilibrium era
- 2.3 Recombination and last scattering
- 2.4 The dipole anisotropy
- 2.5 The Sunyaev-Zel'dovich effect
- 2.6 Primary fluctuations in the microwave background: A first look
- 3 THE EARLY UNIVERSE
- 3.1 Thermal history
- 3.2 Cosmological nucleosynthesis
- 3.3 Baryonsynthesis and Leptonsynthesis
- 3.4 Cold dark matter
- Axions & axinos
- 4 INFLATION
- 4.1 Three puzzles
- Flatness
- Horizons
- Monopoles
- 4.2 Slow-roll inflation
- 4.3 Chaotic inflation, eternal inflation
- 5 GENERAL THEORY OF SMALL FLUCTUATIONS
- 5.1 Field equations
- Scalar modes
- Vector modes
- Tensor modes
- 5.2 Fourier decomposition and stochastic initial conditions
- 5.3 Choosing a gauge
- Newtonian gauge
- Synchronous gauge
- Other gauges
- 5.4 Conservation outside the horizon
- 6 EVOLUTION OF COSMOLOGICAL FLUCTUATIONS
- 6.1 Scalar perturbations - kinetic theory
- Cold dark matter
- Baryonic plasma
- 6.2 Scalar perturbations - the hydrodynamic limit
- 6.3 Scalar perturbations - long wavelengths
- Evolution far outside horizon
- Evolution in matter-dominated era
- 6.4 Scalar perturbations - short wavelengths
- Evolution in radiation-dominated era
- Evolution deep inside horizon
- Fast & slow modes
- Matching
- 6.5 Scalar perturbations - interpolation & transfer functions
- 6.6 Tensor perturbations
- 7 ANISOTROPIES IN THE MICROWAVE SKY
- 7.1 General formulas for the temperature fluctuations
- 7.2 Temperature multipole coefficients: Scalar modes
- 7.3 Temperature multipole coefficients: Tensor modes
- 7.4 Polarization
- 8 THE GROWTH OF STRUCTURE
- 8.1 Linear perturbations after recombination
- 8.2 Nonlinear growth
- 8.3 Collapse of baryonic matter
- 9 GRAVITATIONAL LENSES
- 9.1 Lens equation for point masses
- 9.2 Magnification: Strong lensing and microlensing
- 9.3 Extended lenses
- 9.4 Time delay
- 9.5 Weak lensing
- 9.6 Cosmic strings
- 10 INFLATION AS THE ORIGIN OF COSMOLOGICAL FLUCTUATIONS
- 10.1 Scalar fluctuations during inflation
- 10.2 Tensor fluctuations during inflation
- 10.3 Fluctuations during inflation: The slow-roll approximation
- 10.4 Multifield inflation
- APPENDICES
- A. Some Useful Numbers
- B. Review of General Relativity
- C. Energy Transfer between Radiation and Electrons
- D. The Ergodic Theorem
- E. Gaussian Distributions
- F. Newtonian Cosmology
- G. Photon Polarization
- H. The Relativistic Boltzmann Equation
- GLOSSARY OF SYMBOLS
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- ASSORTED PROBLEMS
- AUTHOR INDEX
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- SUBJECT INDEX
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