Physics
Scientific paper
Mar 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977ijtp...16..233t&link_type=abstract
International Journal of Theoretical Physics, Volume 16, Issue 3, pp.233-239
Physics
1
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.
Treder Hans-Jürgen
Yourgrau Wolfgang
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