| 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) |
|
|
|
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) |
|
|
|
38 | (7) |
|
Gravitational Radiation from Binary Stars |
|
|
45 | (6) |
|
Gravitational Radiation Damping |
|
|
51 | (8) |
|
|
|
The Detection of Gravitational Waves |
|
|
59 | (5) |
|
|
|
|
|
62 | (2) |
|
Inescapability of the General Theory of Relativity (GTR) and Problems in the Theory of Gravitation |
|
|
64 | (19) |
|
|
|
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) |
|
|
|
74 | (4) |
|
|
|
78 | (5) |
|
|
|
80 | (3) |
|
The Spherically Symmetric Gravitational Field |
|
|
83 | (46) |
|
|
|
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) |
|
|
|
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) |
|
|
|
118 | (11) |
|
Nonspherical Gravitational Fields |
|
|
129 | (26) |
|
|
|
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) |
|
|
|
149 | (6) |
| II. THE EQUATION OF STATE OF MATTER |
|
|
|
|
155 | (5) |
|
The Concept of Pressure; Different Kinds of Pressure; the Case of Long-Range Interactions |
|
|
155 | (5) |
|
|
|
160 | (41) |
|
Classification into Domains |
|
|
160 | (3) |
|
|
|
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) |
|
|
|
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) |
|
|
|
217 | (4) |
|
The Dissociation of Nuclei |
|
|
221 | (4) |
|
Dense Matter at Low Temperatures |
|
|
225 | (1) |
|
|
|
226 | (2) |
|
General Thermodynamic Relations for Truly Neutral Matter |
|
|
228 | (5) |
| III. RELATIVISTIC STAGES OF EVOLUTION OF COSMIC OBJECTS |
|
|
|
|
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) |
|
|
|
Theory of Cold White Dwarfs |
|
|
271 | (8) |
|
|
|
279 | (7) |
|
|
|
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) |
|
|
|
317 | (2) |
|
|
|
319 | (3) |
|
|
|
322 | (1) |
|
|
|
322 | (3) |
|
|
|
325 | (3) |
|
|
|
328 | (2) |
|
|
|
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) |
|
|
|
345 | (19) |
|
|
|
|
|
The Physics of Neutron Stars |
|
|
364 | (5) |
|
Evolution of a Star with a Mass Greater than the Oppenheimer-Volkoff Limit |
|
|
369 | (1) |
|
|
|
370 | (3) |
|
Neutrino Emission in the Collapse of a Cool Star |
|
|
373 | (3) |
|
The Evolution of a Supermassive Star: General Remarks |
|
|
376 | (1) |
|
|
|
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) |
|
|
|
403 | (2) |
|
The Evolution of a Rotating Star: Velocity of Mass Ejection |
|
|
405 | (11) |
|
|
|
410 | (6) |
|
|
|
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) |
|
|
|
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) |
|
|
|
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 | |
