The Classical Theory of Fields

angle angular momentum arbitrary average axes axis body calculate cartesian Christoffel symbols const constant contravariant coordinate system corresponding covariant covariant derivative curvilinear coordinates density derivative determined differentiation diffraction dipole radiation direction distance electric field electromagnetic field energy energy-momentum tensor equal to zero equation of motion expressed in terms field produced finite formula four-dimensional four-momentum four-vector four-velocity Fourier components frequency function geometrical optics given gravitational field inertial integral intensity interval Lagrangian magnetic field metric tensor obtain optical system particle perpendicular plane wave point in space polarized problem propagation quantities radius vector rays reference system relation relativistic rotation scalar scattering small compared Solution Substituting symmetric system of charges system of reference theory of relativity three-dimensional transformation values vector potential velocity of light wave surface wave vector write Απ