Abstract
We study the propagation of quantum closed strings in gravitational shock wave space-times. We find the exact expressions of the expectation values of the total number operator 〈 N〉 and of the mass square operator 〈 M 2〉 and analyze their properties. We show that they are both finite and that strings propagate consistently through gravitational shock waves. Exact integral representations for 〈 N〉 and 〈 M 2〉 are found in which the presence of the real mass resonances characteristic of tree string amplitudes is exhibited. The issue of space-time singularities is briefly discussed.
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