Modern 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.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Front Matter - p. iii 6. Copyright - p. pageiii 7. About the authors - p. pageiv 8. Preface - p. xv 9. 1. The concordance model of cosmology - p. 1 10. 2. The expanding universe - p. 21 11. 3. The fundamental equations of cosmology - p. 57 12. 4. The origin of species - p. 85 13. 5. The inhomogeneous universe: matter and radiation - p. 111 14. 6. The inhomogeneous universe: gravity - p. 135 15. 7. Initial conditions - p. 159 16. Abstract - p. 159 17. 7.1 The horizon problem and a solution - p. page159 18. 7.2 Inflation - p. page165 19. 7.3 Gravitational wave production - p. page169 20. 7.4 Scalar perturbations - p. page175 21. 7.5 The Einstein–Boltzmann equations at early times - p. 185 22. 7.6 Summary - p. 188 23. Exercises - p. 191 24. Bibliography - p. 196 25. 8. Growth of structure: linear theory - p. 197 26. 9. The cosmic microwave background - p. 233 27. Abstract - p. 233 28. 9.1 Overview - p. page233 29. 9.2 Large-scale anisotropies - p. 239 30. 9.3 Acoustic oscillations - p. page240 31. 9.4 Diffusion damping - p. 246 32. 9.5 Inhomogeneities to anisotropies - p. 249 33. 9.6 The CMB power spectrum - p. 257 34. 9.7 Cosmological parameters - p. 261 35. 9.8 Summary - p. 266 36. Exercises - p. 268 37. Bibliography - p. 270 38. 10. The polarized CMB - p. 271 39. 11. Probes of structure: tracers - p. 293 40. 12. Growth of structure: beyond linear theory - p. 323 41. Abstract - p. 323 42. 12.1 Prelude - p. page324 43. 12.2 Perturbation theory - p. 341 44. 12.3 Simulations - p. 340 45. 12.4 Dark matter halos - p. 345 46. 12.5 Galaxy clusters - p. 353 47. 12.6 Galaxy clustering and bias - p. 357 48. 12.7 The halo model - p. 362 49. 12.8 Summary - p. page364 50. Exercises - p. 367 51. Bibliography - p. 371 52. 13. Probes of structure: lensing - p. 373 53. 14. Analysis and inference - p. 401 54. Abstract - p. 401 55. 14.1 The likelihood function - p. 402 56. 14.2 Overview: from raw data to parameter constraints - p. 407 57. 14.3 Mapmaking - p. 409 58. 14.4 Two-point functions - p. 412 59. 14.5 The Fisher matrix - p. 421 60. 14.6 Sampling the likelihood function - p. 424 61. 14.7 Field-level analysis - p. 428 62. 14.8 Summary - p. 431 63. Exercises - p. 432 64. Bibliography - p. 435 65. A. Solutions to selected exercises - p. 437 66. Chapter 1 - p. page437 67. Chapter 2 - p. 438 68. Chapter 3 - p. 442 69. Chapter 4 - p. 446 70. Chapter 5 - p. page448 71. Chapter 6 - p. 450 72. Chapter 7 - p. 451 73. Chapter 8 - p. 453 74. Chapter 9 - p. 456 75. Chapter 10 - p. 458 76. Chapter 11 - p. page459 77. Chapter 12 - p. 460 78. Chapter 13 - p. 465 79. Chapter 14 - p. page466 80. B. Numbers - p. 469 81. C. Special functions - p. 471 82. D. Symbols - p. 477 83. Bibliography - p. 481 84. Index - p. 491
Modern 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.
1. Title of Book - p. i 2. Cover image - p. i 3. Title page - p. ii 4. Table of Contents - p. iii 5. Front Matter - p. iii 6. Copyright - p. pageiii 7. About the authors - p. pageiv 8. Preface - p. xv 9. 1. The concordance model of cosmology - p. 1 10. 2. The expanding universe - p. 21 11. 3. The fundamental equations of cosmology - p. 57 12. 4. The origin of species - p. 85 13. 5. The inhomogeneous universe: matter and radiation - p. 111 14. 6. The inhomogeneous universe: gravity - p. 135 15. 7. Initial conditions - p. 159 16. Abstract - p. 159 17. 7.1 The horizon problem and a solution - p. page159 18. 7.2 Inflation - p. page165 19. 7.3 Gravitational wave production - p. page169 20. 7.4 Scalar perturbations - p. page175 21. 7.5 The Einstein–Boltzmann equations at early times - p. 185 22. 7.6 Summary - p. 188 23. Exercises - p. 191 24. Bibliography - p. 196 25. 8. Growth of structure: linear theory - p. 197 26. 9. The cosmic microwave background - p. 233 27. Abstract - p. 233 28. 9.1 Overview - p. page233 29. 9.2 Large-scale anisotropies - p. 239 30. 9.3 Acoustic oscillations - p. page240 31. 9.4 Diffusion damping - p. 246 32. 9.5 Inhomogeneities to anisotropies - p. 249 33. 9.6 The CMB power spectrum - p. 257 34. 9.7 Cosmological parameters - p. 261 35. 9.8 Summary - p. 266 36. Exercises - p. 268 37. Bibliography - p. 270 38. 10. The polarized CMB - p. 271 39. 11. Probes of structure: tracers - p. 293 40. 12. Growth of structure: beyond linear theory - p. 323 41. Abstract - p. 323 42. 12.1 Prelude - p. page324 43. 12.2 Perturbation theory - p. 341 44. 12.3 Simulations - p. 340 45. 12.4 Dark matter halos - p. 345 46. 12.5 Galaxy clusters - p. 353 47. 12.6 Galaxy clustering and bias - p. 357 48. 12.7 The halo model - p. 362 49. 12.8 Summary - p. page364 50. Exercises - p. 367 51. Bibliography - p. 371 52. 13. Probes of structure: lensing - p. 373 53. 14. Analysis and inference - p. 401 54. Abstract - p. 401 55. 14.1 The likelihood function - p. 402 56. 14.2 Overview: from raw data to parameter constraints - p. 407 57. 14.3 Mapmaking - p. 409 58. 14.4 Two-point functions - p. 412 59. 14.5 The Fisher matrix - p. 421 60. 14.6 Sampling the likelihood function - p. 424 61. 14.7 Field-level analysis - p. 428 62. 14.8 Summary - p. 431 63. Exercises - p. 432 64. Bibliography - p. 435 65. A. Solutions to selected exercises - p. 437 66. Chapter 1 - p. page437 67. Chapter 2 - p. 438 68. Chapter 3 - p. 442 69. Chapter 4 - p. 446 70. Chapter 5 - p. page448 71. Chapter 6 - p. 450 72. Chapter 7 - p. 451 73. Chapter 8 - p. 453 74. Chapter 9 - p. 456 75. Chapter 10 - p. 458 76. Chapter 11 - p. page459 77. Chapter 12 - p. 460 78. Chapter 13 - p. 465 79. Chapter 14 - p. page466 80. B. Numbers - p. 469 81. C. Special functions - p. 471 82. D. Symbols - p. 477 83. Bibliography - p. 481 84. Index - p. 491
