In the framework of semiclassical approach to quantum gravity we calculate
the first order in h corrections to the metric around N parallel static, st
raight-line cosmic strings due to the back-reaction effects of massless qua
ntized fields propagating in the multi-conical spacetime. The Einstein fiel
d equations which as a source in the right-hand side involve the vacuum ave
rage of the energy-momentum tensor of massless scalar, electromagnetic and
spinor fields are solved perturbatively. We show that the semiclassical met
ric is no longer locally Bat, there is a 'Newtonian-like' potential which r
esults in an attractive, or repulsive, gravitational force near multiple co
smic strings.