Physics
Scientific paper
Dec 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976zhetf..71.2001s&link_type=abstract
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, vol. 71, Dec. 1976, p. 2001-2009. In Russian.
Physics
7
Gravitational Lenses, Gravitational Waves, Plane Waves, Wave Interaction, Wave Packets, Asymptotic Methods, Polarization (Waves), Relativity, Scalars, Tensor Analysis
Scientific paper
The paper examines the interaction of two colliding plane homogeneous gravitational wave packets of arbitrary polarization. Equations for optical scalars are used to examine the behavior of the rays of the two waves. It is shown that the rays are focused on a space-like hypersurface, on which optical scalars and invariants of the curvature tensor have a singularity. The asymptotic behavior of the optical tensors and the invariants of the curvature tensor near the singular surface is studied.
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