  In this proceeding, we study time evolution of a complex scalar field, in
symmetry broken phase, in presence of oscillating spacetime metric background.
We show that spacetime oscillations lead to parametric resonance of the field.
This generates excitations in the field for a wide range of frequency of
spacetime oscillations which ultimately lead to the formation of topological
vortices. The lowest frequency cut-off to induce this phenomena is set by
system size due to finite size effects.
