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Shows that the resonant interaction of sound waves is a source of gravitational waves in general relativity. Asymptotic equation describing the resonant interaction of sound waves; Computation of the interaction coefficient for the quadratically nonlinear coupling between sound waves and gravitational waves; Difference between the resonant interaction with the three-wave.

Derives an asymptotic solution of the Einstein field equations which describes the propagation of a thin, large amplitude gravitational wave into a curved space-time. Same form of the resulting equations as the colliding plane wave equations without one of the usual constraint equations; Exact colliding plane wave solution of the Einstein equations.