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In this work, we investigate the generation of primordial black holes (PBHs) within the framework of single-field inflationary models and their compatibility with the cosmological history of the Universe. Our results suggest that, depending on the masses of the formed PBHs, single-field inflation models require more than fine-tuning a potential to induce ultra-slow roll; it necessitates a comprehensive understanding of the post-inflationary cosmological evolution. As an explicative example, we introduce a new model, based on a double inflection point and consistent with Cosmic Microwave Background observations, capable of generating sub-solar PBHs, whose merger could be potentially detectable by the LVK experiment., Comment: 19 pages and 13 figures

We provide evidence for a correspondence between the formation of black holes and the stability of circular null geodesics around the collapsing perturbation. We first show that the critical threshold of the compaction function to form a black hole in radiation is well approximated by the critical threshold for the appearance of the first unstable circular orbit in a spherically symmetric background. We also show that the critical exponent in the scaling law of the primordial black hole mass close to the threshold is set by the inverse of the Lyapunov coefficient of the unstable orbits when a self-similar stage is developed close to criticality., Comment: 5 pages, 4 figures v2: Updated version matching the PRL published version