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THE CAUCHY PROBLEM FOR EINSTEINS EQUATIONS
SUBSTANCE OF THE PROBLEM
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Acad admits algebraic asymptotic axially symmetric Bondi Bonnor Cauchy data Cauchy's problem Chapter chronometrically invariant Colon components coordinate system corresponding covariant curvature tensor defined definition derivatives eikonal equation Einstein spaces Einstein's equations electromagnetic field electromagnetic waves empty space empty space-time energy energy-momentum tensor equations 2.2 expansion field equations formulation frame of reference geodesic rays given gravitational emission gravitational field gravitational radiation gravitational waves gravitational-inertial waves gravitatsii hypersurface identical isotropic vector isotropic vector field Izdatel'stvo Journ Kundt Lichnerowicz criterion linear approximation Math Maxwell's equations metric tensor obtain Petrov type Phys physical Pirani problem of gravitational Proc propagation quantities Rend Riemann tensor rotation Sachs satisfying equations satisfying the Lichnerowicz scalar solution space Vt space-time space-time Vt stars system of equations system of sources theorem theory of gravitation theory of relativity three-dimensional tion trajectories universiteta wave equation wave front Weyl tensor Zakharov Zel'manov criterion