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We present the solution of the problem of the $1/\Box, \Box \to 0,$asymptotic terms discovered in the one-loop form factors of the gravitationaleffective action. Owing to certain constraints among their coefficients, whichwe establish, these terms cancel in the vacuum stress tensor and do not violatethe asymptotic flatness of the expectation value of the metric. They reappear,however, in the Riemann tensor of this metric and stand for a new effect: aradiation of gravitational waves induced by the vacuum stress. This coherentradiation caused by the backreaction adds to the noncoherent radiation causedby the pair creation in the case where the initial state provides the vacuumstress tensor with a quadrupole moment.Comment: 49 pages, late

1-loop form factors in the effective action and production of coherent gravitons from the vacuum