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GLOBAL AND NONGLOBAL PROBLEMS
THE GEOMETRY OF FREE FALL AND LIGHT
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approximation arbitrary automorphism Axiom behaviour Boltzmann collision components condition consider constant coordinate system cosh covariant curvature tensor curve defined density derived determined differential discussion Einstein electrodynamics electromagnetic field energy equilibrium expression field equations follows formulae geometry given gravitational field gravitational waves Hence hypersurface identity implies inertial invariant Lagrangian light cone light rays line element linear Lorentz frame manifold mapping mass math mathematical Maxwell's equations metric tensor morphism motion normal null cone null fluid null geodesics null vector observed obtain one-parameter group parameter particle particle horizon Phys physical plane-symmetric Poincare potential principle of relativity problem Proc propagation quantities radiation reference relation relativistic respect Riemannian rotating satisfied scalar singular sinh solution space space-like space-time spinor structure surface integral Synge tangent vector theory time-like tion vanishes variables vector bundles vector field velocity Weyl world line zero