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Structure of SpaceTime Theories
11 other sections not shown
affinity arbitrary associated assumed charge components condition consequence conservation laws consider const constant construct continuity equation contravector coordinates corresponding covariance group curve defined density derivatives determined Dirac discussion distance dynamical laws Einstein equations Einstein field equations electrodynamics electromagnetic field element energy equations of motion equivalence expression field equations finite follows from Eq force free particles function gauge geometrical object given by Eq gravitational field hence hypersurface infinitesimal mappings initial value integral interaction invariant Killing vector light clock linear Lorentz group Lorentz mapping Mach's principle mass Maxwell equations measurements metric Minkowski Newtonian null geodesics observed obtain parameters Phys physical system Poincare group Poincare mapping principle Problem properties quantities radiation relation relativistic requirement result rotation scalar Section solution space space-time space-time manifold spacelike special relativity stress-energy tensor surface symmetry group term timelike tion trajectory transformation law twin vanish velocity zero