Exact solutions of multi-vortices and false vacuum bubbles in noncommutative Abelian-Higgs theories

We consider the noncommutative Abelian-Higgs theory and construct new type of exact multi-vortex solutions that solve the static equations of motion. They in general do not follow from the BPS equations; only for some specifi c values of parameters, they satisfy the BPS equations saturating the Bogom ol'nyi bound. We further consider the Abelian-Higgs theory with more compli cated scalar potential allowing unstable minima and construct exact solutio ns of noncommutative false vacuum bubble with integer magnetic flux. The cl assical stability of the solutions is discussed. (C) 2000 Published by Else vier Science B.V.