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A first-order quadrupole sandwich wave of gravitational radiation exploding from a first-order Schwarzschild mass is examined to second order. If the second-order field preceding the sandwich wave vanishes, it is shown that the region of space-time following the sandwich wave contains a second-order, imploding quadrupole wave. The rest of the second-order field in the space-time region following the sandwich wave is also given, and it is seen to consist of monopole, quadrupole, and 16-pole nonradiative motions.
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Couch et al. (1968) studied this question.
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