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THE FOUNDATIONS OF THE SPECIAL THEORY OF RELATIVITY HISTORICAL SURVEY
The special principle of relativity
3 In variance of the phase of a plane wave
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4-space accelerated systems according antisymmetrical tensor arbitrary system Cartesian centre of mass charge Christoffel symbols coefficients connexion conservation consider constant contravariant corresponding covariant components curve defined determined differentiation direction electron energy density energy-momentum tensor equal ether Euclidean expression field equations formula four-current four-dimensional four-force four-force density four-vector four-velocity function geodesic geodesic lines geometry given gravitational field Hence identical infinitesimal integration invariant line element Lorentz transformation material particle Maxwell's Maxwell's equations means measured measuring-rods mechanics metric tensor momentum density moving obtained physical potentials principle of relativity proper mass pseudo-tensor quantities ray velocity relativistic respectively rest system satisfy scalar space-time coordinates spatial special theory standard clock surface symmetrical system of coordinates system of inertia system of reference tensor field tensor of rank theorem theory of relativity three-dimensional tion transformation equations variables wave written zero