Abstract
In the new inflationary-Universe scenario monopoles are created in rare, very energetic particle collisions, and their predicted abundance, which is $\ensuremath{\propto} \mathrm{exp}(\ensuremath{-}\frac{2{m}_{0}}{{T}_{\mathrm{RH}}})$, is tiny, where ${m}_{0}=\mathrm{monopole}\mathrm{mass}$, ${T}_{\mathrm{RH}}=\mathrm{reheat}\mathrm{temperature}$. During the reheating process the effective monopole mass oscillates about ${m}_{0}$ as the vacuum expectation value of the scalar field oscillates about the symmetry-breaking minimum of the scalar potential. We find that owing to this effect monopole production is greatly increased, with $\frac{2{m}_{0}}{{T}_{\mathrm{RH}}}$ being replaced by $\frac{2{f}_{*}{m}_{0}}{{T}_{\mathrm{RH}}}$, where $0<{f}_{*}<1$ depends upon the form of the scalar potential and the details of reheating.
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