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THE CAUCIIY PROBLEM FOR EINSTEINS EQUATIONS
SUBSTANCE OF THE PROBLEM
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Acad algebraic asymptotic axially symmetric Bondi Bonnor Cauchy data Cauchy's problem Chapter chronometrically invariant Colon components Compt coordinate system corresponding covariant curvature tensor defined definition derivatives described 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 given gravitational emission gravitational field gravitational radiation gravitational waves gravitational-inertial waves gravitatsii hypersurface identical isotropic vector isotropic vector field Izdatel'stvo Journ konferentsii Kundt Lichnerowicz criterion linear approximation Math metric tensor obtain Petrov type Phys physical Pirani problem of gravitational Proc quantities Rend Riemann tensor Sachs satisfying equations satisfying the Lichnerowicz scalar solution system of equations system of sources Takeno Tbilisskogo universiteta teorii Tezisy theorem theory of gravitation theory of relativity three-dimensional tion trajectories wave equation wave front Weber Weyl tensor Zel'manov criterion