On Gravitational Shock Waves

Physics

Scientific paper

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Scientific paper

The discontinuity planes of the Riemann curvature tensor R {/klm i } in the Einsteinian vacuum R kl =0 are isotropic hypersurfaces. These surfaces are to be conceived as being constructed of lightlike geodesics, which form, in the eikonal approximation, gravitational radiation. The discontinuity planes themselves describe the wave fronts of disturbances of the metric g ik , propagating with the velocity of light. By successively applying continuity conditions for the derivatives of the g ik that follow from Einstein's equations, we obtain the universal expression of gravitational wave fields in space-time “strips” (or representations) of arbitrarily selected Einstein spaces.

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