Note: Front Cover -- The Classical Theory of Fields -- Copyright Page -- Table of Contents -- Excerpts from the Prefaces to the First and Second Editions -- Preface to the Fourth English Edition -- Editor'S Preface to the Seventh Russian Edition -- Notation -- CHAPTER 1. THE PRINCIPLE OF RELATIVITY -- 1 Velocity of propagation of interaction -- 2 Intervals -- 3 Proper time -- 4 The Lorentz transformation -- 5 Transformation of velocities -- 6 Four-vectors -- 7 Four-dimensional velocity -- CHAPTER 2. RELATIVISTIC MECHANICS -- 8 The principle of least action -- 9 Energy and momentum -- 10 Transformation of distribution functions -- 11 Decay of particles -- 12 Invariant cross-section -- 13 Elastic collisions of particles -- 14 Angular momentum -- CHAPTER 3. CHARGES IN ELECTROMAGNETIC FIELDS -- 15 Elementary particles in the theory of relativity -- 16 Four-potential of a field -- 17 Equations of motion of a charge in a field -- 18 Gauge invariance -- 19 Constant electromagnetic field -- 20 Motion in a constant uniform electric field -- 21 Motion in a constant uniform magnetic field -- 22 Motion of a charge in constant uniform electric and magnetic field -- 23 The electromagnetic field tensor -- 24 Lorentz transformation of the field -- 25 Invariants of the field -- CHAPTER 4. THE ELECTROMAGNETIC FIELD EQUATIONS -- 26 The first pair of Maxwell's equations -- 27 The action function of the electromagnetic field -- 28 The four-dimensional current vector -- 29 The equation of continuity -- 30 The second pair of Maxwell equations -- 31 Energy density and energy flux -- 32 The energy-momentum tensor -- 33 Energy-momentum tensor of the electromagnetic field -- 34 The virial theorem -- 35 The energy-momentum tensor for macroscopic bodies -- CHAPTER 5. CONSTANT ELECTROMAGNETIC FIELDS -- 36 Coulomb's law -- 37 Electrostatic energy of charges. , 38 The field of a uniformly moving charge -- 39 Motion in the Coulomb field -- 40 The dipole moment -- 41 Multipole moments -- 42 System of charges in an external field -- 43 Constant magnetic field -- 44 Magnetic moments -- 45 Larmor's theorem -- CHAPTER 6. ELECTROMAGNETIC WAVES -- 46 The wave equation -- 47 Plane waves -- 48 Monochromatic plane waves -- 49 Spectral resolution -- 50 Partially polarized light -- 51 The Fourier resolution of the electrostatic field -- 52 Characteristic vibrations of the field -- CHAPTER 7. THE PROPAGATION OF LIGHT -- 53 Geometrical optics -- 54 Intensity -- 55 The angular eikonal -- 56 Narrow bundles of rays -- 57 Image formation with broad bundles of rays -- 58 The limits of geometrical optics -- 59 Diffraction -- 60 Fresnel diffraction -- 61 Fraunhofer diffraction -- CHAPTER 8. THE FIELD OF MOVING CHARGES -- 62 The retarded potentials -- 63 The Lienard-Wiechert potentials -- 64 Spectral resolution of the retarded potentials -- 65 The Lagrangian to terms of second order -- CHAPTER 9. RADIATION OF ELECTROMAGNETIC WAVES -- 66 The field of a system of charges at large distances -- 67 Dipole radiation -- 68 Dipole radiation during collisions -- 69 Radiation of low frequency in collisions -- 70 Radiation in the case of Coulomb interaction -- 71 Quadrupole and magnetic dipole radiation -- 72 The field of the radiation at near distances -- 73 Radiation from a rapidly moving charge -- 74 Synchrotron radiation (magnetic bremsstrahlung) -- 75 Radiation damping -- 76 Radiation damping in the relativistic case -- 77 Spectral resolution of the radiation in the ultrarelativistic case -- 78 Scattering by free charges -- 79 Scattering of low-frequency waves -- 80 Scattering of high-frequency waves -- CHAPTER 10. PARTICLE IN A GRAVITATIONAL FIELD -- 81 Gravitational fields in nonrelativistic mechanics. , 82 The gravitational field in relativistic mechanics -- 83 Curvilinear coordinates -- 84 Distances and time intervals -- 85 Covariant differentiation -- 86 The relation of the Christofiel symbols to the metric tensor -- 87 Motion of a particle in a gravitational field -- 88 The constant gravitational field -- 89 Rotation -- 90 The equations of electrodynamics in the presence of a gravitational field -- CHAPTER 11. THE GRAVITATIONAL FIELD EQUATIONS -- 91 The curvature tensor -- 92 Properties of the curvature tensor -- 93 The action function for the gravitational field -- 94 The energy-momentum tensor -- 95 The Einstein equations -- 96 The energy-momentum pseudotensor of the gravitational field -- 97 The synchronous reference system -- 98 The tetrad representation of the Einstein equations -- CHAPTER 12. THE FIELD OF GRAVITATING BODIES -- 99 Newton's law -- 100 The centrally symmetric gravitational field -- 101 Motion in a centrally symmetric gravitational field -- 102 Gravitational collapse of a spherical body -- 103 Gravitational collapse of a dustlike sphere -- 104 Gravitational collapse of nonspherical and rotating bodies -- 105 Gravitational fields at large distances from bodies -- 106 The equations of motion of a system of bodies in the second approximation -- CHAPTER 13. GRAVITATIONAL WAVES -- 107 Weak gravitational waves -- 108 Gravitational waves in curved space-time -- 109 Strong gravitational waves -- 110 Radiation of gravitational waves -- CHAPTER 14. RELATIVISTIC COSMOLOGY -- 111 Isotropie space -- 112 The closed isotropic model -- 113 The open isotropic model -- 114 The red shift -- 115 Gravitational stability of an isotropic universe -- 116 Homogeneous spaces -- 117 The flat anisotropic model -- 118 Oscillating regime of approach to a singular point. , 119 The time singularity in the general cosmological solution of the Einstein equations -- INDEX.