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THE CAUCHY PROBLEM FOR EINSTEINS EQUATIONS
SUBSTANCE OF THE PROBLEM
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Acad algebraic asymptotic axially symmetric Bondi Cauchy data Cauchy's problem Chapter characteristic chronometrically invariant Colon components Compt coordinate system corresponding covariant curvature tensor defined definition derivatives described differential equations 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 given gravitational emission gravitational field gravitational radiation gravitational waves gravitational-inertial waves gravitatsii hypersurface identical isotropic vector Journ konferentsii Kundt linear approximation Math Maxwell's equations metric tensor obtain Petrov type Phys physical Pirani problem of gravitational Proc propagation quantities Rend Riemann tensor s p a c e Sachs satisfies equations scalar solution stars system of equations system of sources Tezisy theorem theory of gravitation theory of relativity three-dimensional tion trajectories vector lº wave equation wave front Weyl tensor Zel'manov criterion