search for books and compare prices
Tables of Contents for The Structure and Evolution of the Universe
Chapter/Section Title
Page #
Page Count
Editor's Foreword
xiii
Preface to the English Edition
xv
Introduction
xix
I. THE HOMOGENEOUS, ISOTROPIC UNIVERSE: ITS EXPANSION AND GEOMETRICAL STRUCTURE
Local Properties of The Homogeneous, Isotropic Cosmological Model
3
17
The Local Law for the Velocity Distribution
3
3
The Law of Evolution and the Critical Density
6
3
The Duration of the Expansion
9
1
Two Particular Solutions; the Early Stage
9
3
The Effect of Pressure on the Expansion Law: Qualitative Considerations
12
2
The Equation of Motion
14
1
The Expansion Time
15
2
The Early Stages
17
3
Appendix to § 1.3
18
2
Relativistic Theory of The Homogeneous, Isotropic Universe
20
13
Einstein's Gravitational Equations and Friedmann's Cosmological Equations
20
3
Global Geometrical Structure of a Model of the Universe: The Space of Constant Positive Curvature
23
5
The Metric of the Open Model
28
1
The Limiting Case of Small Matter Density
29
2
The Critical-Density Case
31
2
The Propagation of Photons and Neutrinos; Observational Methods for Testing Cosmological Theories
33
66
The Redshift and Momentum Decrease
33
2
Observable Quantities and the Horizon
35
6
Graphs and Formulae for Functions Which Determine Observable Quantities
41
11
Working Formulae as Functions of the Redshit z
52
4
The First Approximation and Euclidean Space; the Deceleration Parameter
56
5
The Distribution with Respect to Apparent Magnitude
61
5
On the Possibility of Choosing among Cosmological Models by Observations of Distant Objects
66
4
The Evolution of Radio Sources
70
8
The Determination of H0 and q0 from Observations
78
7
Observable Quantities in a Universe That Is Homogeneous Only on the Average
85
4
The Kinetic Equations for Photons
89
7
Is the Redshift Unambiguously Explained by the Expansion of the Universe?
96
3
The Cosmological Constant
99
18
Does the Cosmological Constant Differ from Zero?
99
3
Cosmological Models with the A Term
102
15
Appendix to Part I: The Semiclosed Model and the Physical Interpretation of the Kruskal Metric
109
8
II. PHYSICAL PROCESSES IN THE HOT UNIVERSE
Introduction to Part II
117
17
Introductory Remarks and Historical Review
117
8
Electromagnetic Radiation in the Universe---a Review of the Observations
125
4
Observational Proof of the Existence of the Relic Radiation (RR)
129
5
Thermodynamic Equilibrium at The Beginning of the Cosmological Expansion
134
19
Basic Epochs in the Evolution of the Hot Universe
134
2
The Cosmological Expansion of the High-Temperature Plasma and the Condition of Thermodynamic Equilibrium
136
3
The Hadron Era in the Evolution of the Universe
139
8
Hagedorn's Theory
147
4
The Equilibrium Concentration of Nucleons and Antinucleons in the Charge-asymmetric Universe
151
2
The Kinetics of Elementary-Particle Processes
153
36
Neutrinos in the Theory of the Hot Universe
153
4
Cosmological Gravitational Waves
157
6
Antinucleons in the Hot Model
163
7
Relic Quarks in the Hot Model
170
3
Nucleosynthesis in the Hot Model
173
10
A Comparison of the Observational Data on the Distribution of Light Elements in the Universe with the Predictions of Theory
183
6
The Radiation-Dominated Plasma and the Relic Radiation
189
48
Introduction and General Review
189
6
Recombination: Equilibrium and Kinetics
195
5
The Interaction between the Electrons and the Photons in the Dilute Plasma
200
7
The Effect of the Electrons on the Radiation Spectrum
207
2
Early Energy Release and Quasi-Equilibrium
209
6
When Does the Relic Radiation Arise?
215
1
Late Energy Release
215
5
The Intergalactic Gas: Its Radiation and Density
220
6
Radio Emission by the Ionized Intergalactic Gas and the Epoch of Neutral Hydrogen
226
3
The Interaction of Cosmic Rays with the Relic Radiation
229
8
III. GRAVITATIONAL INSTABILITY IN COSMOLOGY; GALAXY FORMATION
Introduction to Part III
237
3
Gravitational Instability in Newtonian Theory
240
25
Jeans's Theory
240
7
The Instability of Expanding, Homogeneous Matter
247
4
Large-Scale Perturbations; the Self-similar Solution
251
2
A View of Perturbations as Variations in the Parameters of a Solution; the Evolution of Perturbations in a Nonflat (ω0 ≠ 1) Model
253
2
Formulae Describing the Evolution of Perturbations
255
4
Numerical Estimates
259
3
The Instability of a Collisionless, Self-gravitating Gas
262
3
Instability in the Hot Model
265
20
Conditions for the Growth of Perturbations
265
5
Dissipative Processes and the Decay of Adiabatic Perturbations
270
4
The Interaction of Perturbation with Free Particles
274
2
Entropy Perturbations
276
2
Rotational Perturbations
278
2
Matching Perturbation When the Equation of State Changes
280
5
Gravitational Instability in The General Theory of Relativity
285
25
General Principles and Equations
285
4
Classification of the Perturbations
289
2
Scalar Perturbations
291
4
Vector (Rotational) Perturbations
295
4
Tensor Perturbations and Gravitational Waves
299
3
Entropy Perturbations in Relativistic Theory
302
1
The Quasi-isotropic Solution and the Hypothesis of a Uniform Distribution of Perturbations
303
2
Long-Wavelength Perturbations and Their Representation in Terms of Spherical Waves
305
5
Statistical Theory
310
15
Randomness and Fourier Analysis
310
4
The Correlation Function and the Sizes of Self-gravitating Objects
314
3
Deviations from the Average Density in a Given Volume
317
5
The Limitations and Complexity of the Linear Theory
322
3
The Nonlinear Theory of Perturbations and Thermal Instability
325
25
Perturbations in a Matter-Dominated Model; Problems Admitting Exact Solutions
325
4
Perturbations in a Matter-Dominated Model; an Approximate Analysis of a General Asymmetric Case (the ``Pancake'' Model)
329
6
Nonlinear Spectral Theory
335
4
The Emergence of Long-Wavelength Perturbations from a Gas of Stars or Star Clusters
339
5
Thermal Instability and the Separation of a Homogeneous Gas into Phases
344
6
Appendix to Section 14.2
347
3
Theories of Galaxy Formation
350
69
Introduction
350
8
Adiabatic Perturbations: Prerequisites
358
2
Shock Waves
360
6
Thermal Processes in the Compressed Gas
366
6
Cluster Masses and Protocluster Fragmentation
372
5
Galaxy Rotation
377
7
Galactic Magnetic Fields
384
5
The Theory of Entropy Perturbations
389
5
The Vortex Theory
394
5
A Comparison of the Evolutionary Theories of Galaxy Formation
399
6
Observational Data concerning the Properties of Galaxies and Galaxy Clusters; the Average Density of Matter in the Universe
405
8
Astrophysical Consequences of the Existence of a Heavy Neutral Lepton
413
6
Mathematical Appendix to § 15.9
416
3
Research on Perturbations Using The Relic Radiation
419
30
Introduction
419
3
Antimatter Annihilation
422
6
Adiabatic Perturbations, Acoustic Oscillations, and Their Effect on the Relic Radiation Spectrum
428
4
Perturbations of the Spatial Homogeneity and Isotropy of the Relic Radiation
432
6
The Detection of Density Perturbations Using the Relic Radiation
438
5
The Perturbation Spectrum and the Low-Density, Hyperbolic Model
443
1
The Angular Distribution of the Relic-Radiation Fluctuations
444
5
Gravitational Waves in Cosmology
449
28
Introduction
449
1
General Information about Gravitational Waves
450
4
Gravitational Waves in the Theory of Small Perturbations of a Cosmological Model
454
3
The Expected Intensity of Relic, Short-Wavelength Gravitational Radiation
457
3
The Equipartition Theorem and Long-Wavelength Gravitational Radiation
460
1
The Generation of Gravitational Waves in the Present Epoch
461
4
The Effect of Gravitational Waves on the Relic Radiation
465
2
The Peculiar Motion Induced by Gravitational Waves
467
3
The Interconversion of Gravitational and Electromagnetic Waves
470
7
IV. ANISOTROPIC COSMOLOGY
Introduction to Part IV
477
3
Very Simple Anisotropic Cosmological Models
480
10
The Newtonian Theory of a Very Simple Homogeneous, Anisostropic (HA) Model as the Limiting Case of a Local Problem
480
4
A Paradox Involving Newtonian Gravitational Theory
484
1
A Simple Relativistic Model: the ``Vacuum'' Solution near a Singularity
485
2
A Comparison of the Newtonian and Relativistic Problems
487
3
Matter in an Anisotropic Cosmological Model
490
21
Isotropization of a Model with a Stress-Energy Tensor of the Pascal Form
490
1
The Effect of a Spatially Anisotropic Stress-Energy Tensor on a Cosmological Model
491
4
Cosmological Models with a Homogeneous Magnetic Field
495
6
Perturbations in a Homogeneous, Anisotropic (HA) Universe
501
5
The Instability of the Cosmological Models with Respect to the Emergence of Overall Matter Motions
506
5
The Physics of Processes During the Early Stages of Expansion in Anisotropic Models
511
19
Weakly Interacting Particles in an Anisotropic Cosmological Model
511
5
Neutrinos in an Anisotropic Model
516
3
The Effect of Viscosity on the Expansion of Anisotropic Models
519
2
The Kinetic Theory of Neutrinos in an Anisotropic Model; the Self-similar Solution
521
2
Primordial Nucleosynthesis in Anisotropic Models
523
7
A General Analysis of Homogeneous Cosmological Models
530
39
The Concept of the Homogeneity of a Cosmological Model
530
5
A Differential Criterion for Homogeneity
535
2
The Dynamical Properties of Homogeneous Models near a Singularity
537
3
The ``Mixmaster'' Model
540
5
On the Impossibility of Mixing in the Mixmaster Model
545
2
Quantum Limitations on the Mixmaster Model
547
1
The Isotropization of Homogeneous Cosmological Models in the Course of Expansion
548
7
The Anisotropy of the Relic Radiation (RR) in Bianchi Type I Models with the Critical Matter Density
555
4
The Expected Anisotropy of the Relic Radiation (RR) in Homogeneous, Anistropic (HA) Models with a Curved Three-Dimensional Space
559
10
V. THE SINGULARITY AND NEW THEORETICAL DEVELOPMENTS
The Cosmological Singularity
569
12
Introduction
569
2
The Singularity at the Beginning of the Expansion
571
6
The General Cosmological Solution with a Singularity
577
4
Physical Processes Near a Singularity and Developments in the Theory of Gravitation
581
94
Introduction
581
2
Cosmological Consequences of Hagedorn's Theory
583
2
Quantum Phenomena That Take Place near Singular States of a Metric and in Strong Gravitational Fields
585
9
The Creation of Charged Particles in Electrodynamics
594
9
The Mathematical Theory of Particle Creation
603
7
Superspace and Mini-Superspace
610
3
The Hypothesis of Baryon Nonconservation and the Charge Asymmetry of the Elementary Particles
613
3
The Cold Universe and the Perturbation Spectrum
616
6
The Steady-State Theory of the Universe
622
3
Mach's Principle and the Coincidences among Large Numbers Occurring in Physics and Cosmology
625
8
The General Theory of Relativity (GTR) and the Topological Structure of the Universe
633
8
Local Topology, White Holes, Black Holes, and Cosmology
641
4
Statistical Physics and Gravitation
645
3
The Brans-Dicke Theory of Gravitation (BDT) and Its Cosmological Consequences
648
6
Cosmology and New Hypotheses in Field Theory
654
4
An Oscillating Universe?
658
5
The Creation of Gravitons near the Singularity
663
3
The Singularity and Conformal Invariance
666
4
The Direction of Time
670
5
References
675
24
Author Index
699
6
Subject Index
705