The Classical theory of fields / L.D. Landau and E.M. Lifshitz ; translated from the Russian by Morton Hamermesh.

Includes index.

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 The Principle of Relativity Velocity of propagation of interaction Intervals Proper time The Lorentz transformation Transformation of velocities Four-vectors Four-dimensional velocity Relativistic Mechanics The principle of least action Energy and momentum Transformation of distribution functions Decay of particles Invariant cross-section Elastic collisions of particles Angular momentum Charges in Electromagnetic Fields Elementary particles in the theory of relativity Four-potential of a field Equations of motion of a charge in a field Gauge invariance Constant electromagnetic field Motion in a constant uniform electric field Motion in a constant uniform magnetic field Motion of a charge in constant uniform electric and magnetic fields The electromagnetic field tensor Lorentz transformation of the field Invariants of the field The Electromagnetic Field Equations The first pair of Maxwell's equations The action function of the electromagnetic field The four-dimensional current vector The equation of continuity The second pair of Maxwell equations Energy density and energy flux The energy-momentum tensor Energy-momentum tensor of the electromagnetic field The virial theorem The energy-momentum tensor for macroscopic bodies Constant Electromagnetic Fields Coulomb's law Electrostatic energy of charges The field of a uniformly moving charge Motion in the Coulomb field The dipole moment Multipole moments System of charges in an external field Constant magnetic field Magnetic moments Larmor's theorem Electromagnetic Waves The wave equation Plane waves Monochromatic plane waves Spectral resolution Partially polarized light The Fourier resolution of the electrostatic field Characteristic vibrations of the field The Propagation of Light Geometrical optics Intensity The angular eikonal Narrow bundles of rays Image formation with broad bundles of rays The limits of geometrical optics Diffraction Fresnel diffraction Fraunhofer diffraction The Field of Moving Charges The retarded potentials The Lienard-Wiechert potentials Spectral resolution of the retarded potentials The Lagrangian to terms of second order Radiation of Electromagnetic Waves The field of a system of charges at large distances Dipole radiation Dipole radiation during collisions Radiation of low frequency in collisions Radiation in the case of Coulomb interaction Quadrupole and magnetic dipole radiation The field of the radiation at near distances Radiation from a rapidly moving charge Synchrotron radiation (magnetic bremsstrahlung) Radiation damping Radiation damping in the relativistic case Spectral resolution of the radiation in the ultrarelativistic case Scattering by free charges Scattering of low-frequency waves Scattering of high-frequency waves Particle in a Gravitational Field Gravitational fields in nonrelativistic mechanics The gravitational field in relativistic mechanics Curvilinear coordinates Distances and time intervals Covariant differentiation The relation of the Christoffel symbols to the metric tensor Motion of a particle in a gravitational field The constant gravitational field Rotation The equations of electrodynamics in the presence of a gravitational field The Gravitational Field Equations The curvature tensor Properties of the curvature tensor The action function for the gravitational field The energy-momentum tensor The Einstein equations The energy-momentum pseudotensor of the gravitational field The synchronous reference system The tetrad representation of the Einstein equations The Field of Gravitating Bodies Newton's law The centrally symmetric gravitational field Motion in a centrally symmetric gravitational field Gravitational collapse of a spherical body Gravitational collapse of a dustlike sphere Gravitational collapse of nonspherical and rotating bodies Gravitational fields at large distances from bodies The equations of motion of a system of bodies in the second approximation Gravitational Waves Weak gravitational waves Gravitational waves in curved space-time Strong gravitational waves Radiation of gravitational waves Relativistic Cosmology Isotropic space The closed isotropic model The open isotropic model The red shift Gravitational stability of an isotropic universe Homogeneous spaces The flat anisotropic model Oscillating regime of approach to a singular point The time singularity in the general cosmological solution of the Einstein equationsIndex