Long-wavelength non-linear perturbations of a complex scalar field
arXiv:2107.01187 · doi:10.1103/PhysRevD.104.083513
Abstract
We study the evolution of nonlinear superhorizon perturbations in a universe dominated by a complex scalar field. The analysis is performed adopting the gradient expansion approach, in the constant mean curvature slicing. We derive general solutions valid to second order in the ratio for scalar field inhomogeneities of size subject to an arbitrary canonical potential. We work out explicit solutions for the quadratic and the quartic potentials, and discuss their relevance in setting initial conditions required for the simulations of Primordial Black Hole formation.
arXiv commentV3: 24 pages, 2 figures, Final version, published in PRD. Modifications were made to fix typos
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