The Large-Scale Structure of the Universe

Name: The Large-Scale Structure of the Universe
Brand: Princeton University Press
Price: 107.99 EUR
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P. James E. Peebles P. J. E. Peebles(Autor*in)

Princeton University Press

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Erschienen am 26. Oktober 2020

448 Seiten

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Inhalt

Cover
Title
Copyright
Dedication
CONTENTS
PREFACE
ACKNOWLEDGMENTS
I. HOMOGENEITY AND CLUSTERING
1. Homogeneity and clustering
2. Is the universe homogeneous?
3. Physical principles
4. How did galaxies and clusters of galaxies form?
5. Summary
II. BEHAVIOR OF IRREGULARITIES IN THE DISTRIBUTION OF MATTER: NEWTONIAN APPROXIMATION
6. Newtonian approximation
7. Particle dynamics in expanding coordinates
8. The peculiar acceleration
9. Two models: the Vlasov equation and the ideal fluid
10. Linear perturbation approximation for d
11. Solutions for d(t): p - ? - 0
12. Solutions for d(t): effect of a uniform radiation background
13. Solutions for d(t): models with ? ? 0
14. The peculiar velocity field
15. Joining conditions for d and ?
16. Critical Jeans length
17. Primeval magnetic field as a source for dp / p
18. Second order perturbation theory for dp / p
19. Spherical model
20. Homogeneous ellipsoid model
21. Caustics and pancakes
22. Expansion, vorticity, and shear
23. Origin of the rotation of galaxies
24. Cosmic energy equation
25. Spherical accretion model
26. Hierarchical clustering model
27. Fourier transform of the equations of motion
28. Coupling of density fluctuations
III. n-POINT CORRELATION FUNCTIONS: DESCRIPTIVE STATISTICS
29. Statistical measures of the galaxy distribution
30. Fair sample hypothesis
31. Two-point spatial correlation function ?(r)
32. Two-point correlation function: another definition
33. Two-point correlation function: Poisson model
34. Three-point correlation function
35. Four-point correlation function
36. Moments of counts of objects
37. Constraints on ? and ?
38. Probability generating function
39. Estimates of PN
40. Cluster model
41. Power spectrum
42. Power law model for the spectrum
43. Bispectrum
44. Cross correlation function
45. Angular two-point correlation function
46. Angular power spectrum
47. Estimating w(?)
48. Statistical uncertainty in the estimate of w(?)
49. Relation between angular and spatial two-point correlation functions
50. Small separation approximation and the scaling relation
51. Decoupling of magnitude and position
52. Relation between ? land w: some examples
53. Inversion of the equation
54. Angular three-point correlation function
55. Angular four-point correlation function
56. Correction for curvature and expansion
57. Summary of numerical results
58. Power spectrum of the extragalactic light
59. Moments of the number of neighbors
60. Model for PN
61. Clustering models
62. Continuous clustering hierarchy: Mandelbrot's prescription
63. The mass correlation functions
64. Clustering hierarchy: continuity speculation
65. Remarks on the observations
IV. DYNAMICS AND STATISTICS
66. Goals
67. Definitions of variables and distribution functions
68. BBGKY hierarchy equations
69. Fluid limit
70. Evolution of the integral of ?
71. Particle conservation equations
72. Relative peculiar velocity dispersion
73. Similarity solution
74. Cosmic energy equation
75. Cosmic virial theorem
76. Joint distribution in position and velocity
77. Behavior of the halo around a cluster of galaxies
78. Superclusters
79. Problems and prospects
V. RELATIVISTIC THEORY OF THE BEHAVIOR OF IRREGULARITIES IN AN EXPANDING WORLD MODEL
80. Role of the relativistic theory
81. Time-orthogonal coordinates
82. The field equations for haß
83. Gravitational waves
84. Newtonian approximation
85. Linear perturbation equations for the matter
86. Behavior of density perturbations at wavelength » ct
87. Spherical model
88. Evolution of acoustic waves
89. Nonlinear acoustic waves
90. Incompressible flow
91. Behavior of collisionless particles
92. Linear dissipation of adiabatic perturbations
93. Residual fluctuations in the microwave background
94. Isothermal perturbations
VI. SCENARIOS
95. Nature of the universe at high redshift
96. Nature of protogalaxies and protoclusters
APPENDIX
97 . Models and notation
LIST OF ABBREVIATIONS
REFERENCES
INDEX

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