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Tables of Contents for Stars and Relativity
Chapter/Section Title
Page #
Page Count
Editors' Foreword
xi
Preface to the English Edition
xiii
Preface to the First Russian Edition
xv
I. THE THEORY OF GRAVITATION
Einstein's Gravitational Equations
3
61
The Equality of Inertial and Gravitational Mass
3
3
The Fundamental Concept of the General Theory of Relativity
6
3
Properties of Noninertial Systems
9
3
The Measurement of Spacetime Intervals
12
4
Some Formulae for Curvilinear Coordinates
16
3
Dynamic and Kinematic Quantities
19
3
Curvature of Spacetime
22
2
The Einstein Field Equations and the Equations of Motion
24
4
The Cosmological Constant
28
5
Newton's Law and Weak Gravitational Fields
33
4
The Analogue of the Zeeman Effect in the Gravitational Field of a Rotating Body
37
1
Gravitational Radiation
38
7
Gravitational Radiation from Binary Stars
45
6
Gravitational Radiation Damping
51
8
K. S. Thorne
The Detection of Gravitational Waves
59
5
K. S. Thorne
Appendix to § 1.10
62
2
Inescapability of the General Theory of Relativity (GTR) and Problems in the Theory of Gravitation
64
19
Introduction
64
1
Unified Field Theory, Geometrodynamics, and the Fundamental Mass and Length
64
2
A Flat-Space Theory of Gravity
66
2
Necessity of the Concept of Spacetime Curvature
68
3
On the Possibility of Calculating the Gravitation Constant from Elementary-Particle Theory
71
3
Quantization of Gravity
74
4
Scalar-Field Gravitation
78
5
Appendix to § 2.3
80
3
The Spherically Symmetric Gravitational Field
83
46
Introduction
83
2
The Schwarzschild Gravitational Field
85
2
The Gravitational Field inside a Star
87
2
The Radial Motion of Light Rays and of Ultrarelativistic Particles
89
4
Radial Motion of Nonrelativistic Particles
93
3
Potential Curves for Nonradial Motion
96
3
Circular Orbits
99
3
The Motion of a Relativistic Particle in a Coulomb Field
102
1
Gravitational Capture of a Nonrelativistic Particle
103
2
Motion of Ultrarelativistic Particles and of Light Rays
105
1
Particle Motion in the Schwarzschild Gravitational Field, including the Effects of Gravitational Radiation
106
4
The R- and T-Regions of Schwarzschild Spacetime
110
5
Internal Solution for a Nonstatic Sphere
115
3
The Kruskal Metric
118
11
Nonspherical Gravitational Fields
129
26
Introduction
129
1
Static Fields with Axial Symmetry
130
4
The External Fields of Rotating Bodies
134
4
The Schwarzschild Sphere in an External Quadrupole Field
138
1
The Gravitational Contraction of a Slowly Rotating Body with Small Deviations from Spherical Symmetry
139
5
What Happens to Matter after It Falls through the Event Horizon?
144
11
Appendix to § 4.5
149
6
II. THE EQUATION OF STATE OF MATTER
Introduction to Part II
155
5
The Concept of Pressure; Different Kinds of Pressure; the Case of Long-Range Interactions
155
5
Cold Matter
160
41
Classification into Domains
160
3
Degenerate Electron Gas
163
4
Corrections in the Domain of High Pressures
167
2
The Domain of Medium Densities, 106 < ρ < 500 g cm-3
169
5
Nuclear Processes and Nuclear Interactions: Their Effect upon the Equation of State
174
7
The Properties of a Neutron Gas
181
4
Density Greater than Nuclear
185
2
An Ideal Neutron Gas at Superhigh Density
187
1
Ideal Gas with the Inclusion of Reciprocal Transformations between Particles
188
5
Are All ``Elementary'' Particles Really Elementary?
193
1
The Electromagnetic Interaction of Particles
194
3
A Rigorous Limit upon the Equation of State?
197
4
Properties of Matter at High Temperatures
201
10
Physical Conditions in Ordinary Stars
201
1
High Temperatures
202
3
Various Types of Equilibrium
205
6
Thermodynamic Quantities at High Temperatures
211
22
Neutral Gas, Plasma; Ionization Equilibrium
211
3
The Thermodynamics of Radiation
214
3
Paris and Neutrinos
217
4
The Dissociation of Nuclei
221
4
Dense Matter at Low Temperatures
225
1
Dimensionless Entropy
226
2
General Thermodynamic Relations for Truly Neutral Matter
228
5
III. RELATIVISTIC STAGES OF EVOLUTION OF COSMIC OBJECTS
Introduction to Part III
233
6
The Equilibrium and Stability of Stars
239
91
The Equilibrium and Stability of a Star as a Whole
239
6
General Aspects of the Theory of Stellar Equilibrium
245
4
Analytic Theory of Polytropic Gas Spheres
249
3
The Adiabatic and Polytropic Indices
252
2
The Energy Approach to the Theory of Equilibrium for a Star Consisting of Matter with γ Close to 4/3
254
2
Relativistic Equations of Stellar Equilibrium
256
8
Relativistic Equations for Rotating Stars
264
7
K. S. Thorne
Theory of Cold White Dwarfs
271
8
Neutron Stars
279
7
The Mass Defect
286
2
Stability of Neutron Stars
288
3
Configurations with Positive Energy
291
4
The Metastability of Every Equilibrium State
295
2
Equilibrium of a Supermassive Star
297
12
Critical States of Stars with Intermediate Mass
309
21
Appendix to § 10.1
317
2
Appendix to § 10.5
319
3
Appendix 1 to § 10.8
322
1
Appendix 2 to § 10.8
322
3
Appendix 1 to § 10.14
325
3
Appendix 2 to § 10.14
328
2
Stellar Evolution
330
86
Evolution of a Star up to the Loss of Stability or the White-Dwarf Stage
330
8
Instability of Massive Stars with Nuclear Sources of Energy
338
2
Stability of Stellar Evolution
340
5
Supernova Outbursts
345
19
V. S. Imshennik
D. K. Nadezhin
The Physics of Neutron Stars
364
5
Evolution of a Star with a Mass Greater than the Oppenheimer-Volkoff Limit
369
1
Relativistic Collapse
370
3
Neutrino Emission in the Collapse of a Cool Star
373
3
The Evolution of a Supermassive Star: General Remarks
376
1
Radiative Equilibrium
377
2
The Evolution of a Supermassive Star without Turbulence or Rotation
379
5
Rotation and Mass Shedding: General Relationships
384
5
Equilibrium and the Shape of a Rotating Star: The Newtonian Theory
389
4
Corrections for GTR in the Theory of a Rotating Star
393
5
Approximate Theory of Equilibrium
398
2
Rotating Massive Stars and Quasistellar Objects
400
3
Turbulence
403
2
The Evolution of a Rotating Star: Velocity of Mass Ejection
405
11
Appendix to § 11.11D
410
6
Star Clusters
416
16
General Overview and Basic Equations
416
5
Solutions for Nonrelativistic Star Clusters
421
3
The Stability of Collisionless Solutions
424
2
Physical Conditions, Collisions, and Evolution in Star Clusters
426
2
Relativistic Star Clusters
428
4
Physical Processes in the Vicinities of Relativistic Objects and a Comparison with Observations
432
41
Accretion of Gas by Neutron Stars and Collapsed Stars
432
1
The Infall of Noninteracting Particles
433
2
Four Regimes of Hydrodynamical Flow in the Case of Spherical Symmetry
435
3
The Case of Accretion and the Validity of the Hydrodynamical Approximation
438
4
The Luminosity due to Symmetric Accretion onto Neutron Stars and White Dwarfs
442
2
The Problem of Discovering Collapsed Stars
444
2
The Case of Asymmetric Gas Flow
446
5
Accretion as a Factor in Stellar Evolution
451
1
The Electrostatic Field, Acceleration of Positrons during Accretion, and Gamma-Ray Emission
451
1
Pulsars
452
5
The Superfluidity and Superconductivity of Highly Compressed Matter, and Their Influence on the Behavior of Neutron Stars
457
2
Magnetic and Magneohydrodynamic Phenomena in Collapsing Bodies
459
5
The Statistics of Stars at the Endpoint of Stellar Evolution
464
9
Quasistellar Objects
473
12
Observed Properties of Quasistellar Objects
473
3
Theories of Quasistellar Objects
476
9
References
485
26
Author Index
511
5
Subject Index
516