On the superposition of gravitational waves

Mathematics

Scientific paper

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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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