Effects of oscillating spacetime metric background on a complex scalar field and formation of topological vortices

Abstract

We study the time evolution of a complex scalar field in the symmetry broken phase in the presence of oscillating spacetime metric background. In our (2+1)-dimensional simulations, we show that the spacetime oscillations can excite an initial field configuration, which ultimately leads to the formation of topological vortices in the system. At late times, field configuration achieves a disordered state. A detailed study of the momentum and frequency modes of the field reveals that these field excitations are driven by the phenomenon of parametric resonance. In extremely high frequency regime where frequency of spacetime oscillations is much larger than the field-mass, the formed vortices are not topological in nature. Interestingly in this regime, for a suitable choice of parameters of the simulation, we observe a persistent lattice structure of vortex-antivortex pairs. We discuss applications of our study to the dynamics of interior superfluidity of neutron stars during binary neutron star mergers, in generation of excitation in ultralight axion-like field near a strong gravitational wave source, etc.

15 pages, 14 figures

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Cited by in corpus (4)

• Instabilities of scalar fields around oscillating stars
• Field excitation in fuzzy dark matter near a strong gravitational wave source
• Parametric resonance in abelian and non-abelian gauge fields via space-time oscillations
• Parametric resonance of complex scalar field under spacetime oscillations