Complex Scalar Field Reheating and Primordial Black Hole production

Abstract

We study perturbations of a complex scalar field during reheating with no self-interaction in the regime $\mu \gg H$, when the scalar field has a fast oscillatory behaviour (close to a pressure-less fluid). We focus on the precise determination of the instability scale and find it differs from that associated with a real scalar field. We further look at the probability that unstable fluctuations form Primordial Black Holes (PBHs) obtaining a significant production of tiny PBHs which quickly evaporate and may subsequently leave a population of Planck-mass relics. We finally impose restrictions on the duration and energy scale of the fast oscillations period by considering that such relics constitute, at most, the totality of dark matter in the Universe.

7 figures, 16 pages + 2 appendices. V2: Abundance of PBHs computed for the extended mass spectrum. Bound from Planck mass relics modified for the extended spectrum. Results updated with main conclusions unaffected

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Cited by in corpus (8)

• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Primordial Black Holes
• A new mechanism for primordial black hole formation during reheating
• The primordial black hole from running curvaton
• Production of PBHs from inflaton structure
• On the constant roll complex scalar field inflationary models
• Simulations of Ellipsoidal Primordial Black Hole Formation
• Long-wavelength non-linear perturbations of a complex scalar field