Mathematics
Scientific paper
May 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cpsm...77..559g&link_type=abstract
Cambridge Philosophical Society, Mathematical Proceedings, vol. 77, May 1975, p. 559-565.
Mathematics
Gravitational Waves, Relativity, Superposition (Mathematics), Wave Interaction, Einstein Equations, Field Theory (Physics), Wave Propagation
Scientific paper
The nature of the non-linear interaction between two gravitational waves in the general theory of relativity is considered. A new exact solution of the vacuum field equations describing this case is given. It describes two gravitational waves with both transverse and longitudinal components, propagating in opposite directions along 'shearing' and 'twisting' geodesic congruences with zero contraction.
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