We consider vacuum tunneling of a new kind where the false vacua are n
ot translationally invariant, but have topological defects that break
some of their translational symmetries. In the particular case where t
he topological defects are cosmic strings, we show the existence of an
O(2) x O(2) symmetric bounce configuration that allows a semiclassica
l estimate of the rate of cosmic string induced tunneling. A method of
reduction is then suggested for simplifying the computation of the bo
unce action. Some phenomenological applications are described. (C) 199
7 Elsevier Science B.V.