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 FlatSpace Theory of Gravity 


66  (2) 

Necessity of the Concept of Spacetime Curvature 


68  (3) 

On the Possibility of Calculating the Gravitation Constant from ElementaryParticle 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 TRegions 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 LongRange 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 cm3 


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 WhiteDwarf 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 OppenheimerVolkoff 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 GammaRay 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  