Modern Cosmology
- 3rd Edition - December 19, 2024
- Authors: Scott Dodelson, Fabian Schmidt
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 2 8 8 2 8 - 9
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 2 8 8 2 9 - 6
Modern Cosmology, Third Edition provides a detailed introduction to the field of cosmology. Beginning with the smooth, homogeneous universe described by a Friedmann… Read more
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Request a sales quoteModern Cosmology, Third Edition provides a detailed introduction to the field of cosmology. Beginning with the smooth, homogeneous universe described by a Friedmann-Lemaître-Robertson-Walker metric, this trusted resource includes careful treatments of dark energy, big bang nucleosynthesis, recombination, and dark matter. The reader is then introduced to perturbations about an FLRW universe: their evolution with the Einstein-Boltzmann equations, their primordial generation by inflation, and their observational consequences: the acoustic peaks in the CMB; the E/B decomposition in polarization; gravitational lensing of the CMB and large-scale structure; and the BAO standard ruler and redshift-space distortions in galaxy clustering.
This revised third edition includes updates such as new sections on gravitational waves, line intensity mapping, and emergent analysis techniques; expanded sections of CMB secondaries; and revised figures and pedagogy. These revisions serve to enhance a comprehensive foundational text, as well as provide users with improvements that are aligned with recent advances in the field, as well as modern focuses in the classroom.
- Offers a unique and practical approach for learning how to perform cosmological calculations
- Includes new material on theory, simulations, and analysis of nonlinear structures
- Contains substantial updates on new developments in cosmology since the second edition, including new content on gravitational waves, as well as a new section on emergent analysis techniques and improved pedagogy around figures and imagery
Physics graduate students in Cosmology courses Professionals / researchers / academics in physics, astronomy, and astrophysics
- Title of Book
- Cover image
- Title page
- Table of Contents
- Copyright
- About the authors
- Preface
- 1: The concordance model of cosmology
- 1.1. A nutshell history of the universe
- 1.2. The Hubble diagram
- 1.3. Big Bang nucleosynthesis
- 1.4. The cosmic microwave background
- 1.5. Structure in the universe
- 1.6. ΛCDM: the concordance model of cosmology
- 1.7. Emerging probes
- 1.8. Summary and outlook
- Exercises
- 2: The expanding universe
- 2.1. Expanding space
- 2.1.1. The metric
- 2.1.2. The geodesic equation
- 2.2. Distances
- 2.3. Evolution of energy
- 2.4. Cosmic inventory
- 2.4.1. Photons
- 2.4.2. Baryons
- 2.4.3. Dark matter
- 2.4.4. Neutrinos
- 2.4.5. Epoch of matter–radiation equality
- 2.4.6. Dark energy
- 2.5. Summary
- Exercises
- 3: The fundamental equations of cosmology
- 3.1. Einstein equations
- 3.2. Boltzmann equation
- 3.2.1. Boltzmann equation for particles in a harmonic potential
- 3.2.2. Boltzmann equation in an expanding universe
- 3.2.3. Collision terms
- 3.3. Beyond the homogeneous universe
- 3.3.1. Perturbed spacetime
- 3.3.2. The geodesic equation
- 3.3.3. The collisionless Boltzmann equation for radiation
- 3.3.4. The collisionless Boltzmann equation for massive particles
- 3.4. Summary
- Exercises
- 4: The origin of species
- 4.1. The homogeneous Boltzmann equation revisited
- 4.2. Big Bang nucleosynthesis
- 4.2.1. Neutron abundance
- 4.2.2. Light element abundances
- 4.3. Recombination
- 4.4. Dark matter
- 4.5. Summary
- Exercises
- 5: The inhomogeneous universe: matter and radiation
- 5.1. The collisionless Boltzmann equation for photons
- 5.2. Collision terms: Compton scattering
- 5.3. The Boltzmann equation for photons
- 5.4. The Boltzmann equation for cold dark matter
- 5.5. The Boltzmann equation for baryons
- 5.6. The Boltzmann equation for neutrinos
- 5.7. Summary
- Exercises
- 6: The inhomogeneous universe: gravity
- 6.1. Scalar–vector–tensor decomposition
- 6.2. From gauge to gauge
- 6.3. The Einstein equations for scalar perturbations
- 6.3.1. Ricci tensor
- 6.3.2. Two components of the Einstein equations
- 6.4. Tensor perturbations
- 6.4.1. Christoffel symbol for tensor perturbations
- 6.4.2. Ricci tensor for tensor perturbations
- 6.4.3. Einstein equations for tensor perturbations
- 6.4.4. Verifying the decomposition theorem
- 6.5. Summary
- Exercises
- 7: Initial conditions
- 7.1. The horizon problem and a solution
- 7.2. Inflation
- 7.3. Gravitational wave production
- 7.3.1. Quantizing the harmonic oscillator
- 7.3.2. Tensor perturbations
- 7.4. Scalar perturbations
- 7.4.1. Scalar field perturbations around an unperturbed background
- 7.4.2. Super-horizon perturbations
- 7.4.3. Spatially flat slicing
- 7.5. The Einstein–Boltzmann equations at early times
- 7.6. Summary
- Exercises
- 8: Growth of structure: linear theory
- 8.1. Prelude
- 8.1.1. Three stages of evolution
- 8.1.2. Closing the Boltzmann hierarchy
- 8.2. Large scales
- 8.2.1. Super-horizon solution
- 8.2.2. Through horizon crossing
- 8.3. Small scales
- 8.3.1. Horizon crossing
- 8.3.2. Sub-horizon evolution
- 8.4. The transfer function
- 8.5. The growth factor
- 8.6. Beyond cold dark matter and radiation
- 8.6.1. Baryons
- 8.6.2. Massive neutrinos
- 8.6.3. Dark energy
- 8.7. Summary
- Exercises
- 9: The cosmic microwave background
- 9.1. Overview
- 9.2. Large-scale anisotropies
- 9.3. Acoustic oscillations
- 9.3.1. Tightly-coupled limit of the Boltzmann equations
- 9.3.2. Tightly-coupled solutions
- 9.4. Diffusion damping
- 9.5. Inhomogeneities to anisotropies
- 9.5.1. Free streaming
- 9.5.2. The angular power spectrum
- 9.6. The CMB power spectrum
- 9.6.1. Large angular scales
- 9.6.2. Acoustic peaks
- 9.7. Cosmological parameters
- 9.7.1. Curvature and Λ
- 9.7.2. Amplitude, spectral index, and optical depth
- 9.7.3. Baryon and CDM densities
- 9.8. Summary
- Exercises
- 10: The polarized CMB
- 10.1. Polarization
- 10.2. Generating polarization from Compton scattering
- 10.3. Polarization from a single plane wave
- 10.4. Boltzmann solution
- 10.5. Polarization power spectra
- 10.6. Detecting gravitational waves
- 10.7. Summary
- Exercises
- 11: Probes of structure: tracers
- 11.1. Galaxy clustering
- 11.1.1. Galaxy statistics
- 11.1.2. Redshift-space distortions
- 11.1.3. BAO and Alcock–Paczyński distortion
- 11.2. Angular correlations
- 11.3. The Sunyaev–Zel'dovich effect
- 11.4. Summary
- Exercises
- 12: Growth of structure: beyond linear theory
- 12.1. Prelude
- 12.2. Perturbation theory
- 12.3. Simulations
- 12.4. Dark matter halos
- 12.4.1. Halo masses and profiles
- 12.4.2. The halo mass function
- 12.5. Galaxy clusters
- 12.6. Galaxy clustering and bias
- 12.7. The halo model
- 12.8. Summary
- Exercises
- 13: Probes of structure: lensing
- 13.1. Overview
- 13.2. Photon geodesics
- 13.3. CMB lensing
- 13.4. Galaxy shapes
- 13.5. Weak-lensing statistics
- 13.5.1. Shear power spectrum
- 13.5.2. Shear correlation function
- 13.5.3. Shear cross-correlations
- 13.6. Summary
- Exercises
- 14: Analysis and inference
- 14.1. The likelihood function
- 14.2. Overview: from raw data to parameter constraints
- 14.3. Mapmaking
- 14.4. Two-point functions
- 14.4.1. CMB power spectrum
- 14.4.2. Galaxy power spectrum
- 14.5. The Fisher matrix
- 14.6. Sampling the likelihood function
- 14.7. Field-level analysis
- 14.8. Summary
- Exercises
- A: Solutions to selected exercises
- Chapter 1
- Chapter 2
- Chapter 3
- Chapter 4
- Chapter 5
- Chapter 6
- Chapter 7
- Chapter 8
- Chapter 9
- Chapter 10
- Chapter 11
- Chapter 12
- Chapter 13
- Chapter 14
- B: Numbers
- B.1. Physical constants
- B.2. Astrophysical constants
- B.3. Fiducial cosmology
- C: Special functions
- C.1. Legendre polynomials
- C.2. Spherical harmonics
- C.3. Spherical Bessel functions
- C.4. Fourier transforms
- C.5. Miscellaneous
- D: Symbols
- D.1. Mathematical and geometrical definitions
- D.2. Frequently used relations
- D.3. Symbol definitions
- Bibliography
- Index
- No. of pages: 530
- Language: English
- Edition: 3
- Published: December 19, 2024
- Imprint: Academic Press
- Paperback ISBN: 9780443288289
- eBook ISBN: 9780443288296
SD
Scott Dodelson
Scott Dodelson is Head of the Department of Physics at Carnegie Mellon University. He received his Ph.D. from Columbia University and was a research fellow at Harvard before moving to Fermilab, the University of Chicago, and Carnegie Mellon. He is the author of more than 200 papers on cosmology, most of which focus on the cosmic microwave background and the large-scale structure of the universe. Dodelson serves as the co-Chair of the Science Committee of the Dark Energy Survey.
Affiliations and expertise
Department of Astronomy and Astrophysics, University of Chicago, NASA Fermilab Astrophysics Center, Illinois, USAFS
Fabian Schmidt
Fabian Schmidt is a research group leader at the Max-Planck-Institut für Astrophysik (MPA) in Garching, Germany. He obtained his Ph.D. in Astronomy & Astrophysics at the University of Chicago in 2009, and moved to MPA after fellowships at Caltech and Princeton. His work in cosmology (approximately 100 papers so far) focuses on theory, numerics, and analysis of quasilinear and nonlinear large-scale structure, and how we can learn from it about gravity, dark energy, and the physics of inflation.
Affiliations and expertise
Max-Planck-Institute for Astrophysics, Garching, GermanyRead Modern Cosmology on ScienceDirect