AI Article Synopsis
- The study focuses on the formation of primordial black holes (PBHs) under ultraslow-roll inflation where stochastic effects play a significant role.
- Using an analytical approach, the researchers analyze the spatial profile of the PBH compaction function and find it to be spiky rather than smooth, challenging existing assumptions in the field.
- Their findings indicate that the abundance of PBHs can be significantly higher than previously thought, leading to a mass distribution that varies widely, suggesting a need for new numerical simulations taking these spiky profiles into account.
Article Abstract
We study the formation of primordial black holes (PBHs) with ultraslow-roll inflation when stochastic effects are important. We use the ΔN formalism and simplify the stochastic equations with an analytical constant-roll approximation. Considering a viable inflation model, we find the spatial profile of the PBH compaction function numerically for each stochastic patch, without assumptions about Gaussianity or the radial profile. The stochastic effects that lead to an exponential tail for the density distribution also make the compaction function very spiky, unlike as assumed in the literature. Naively using collapse thresholds found for smooth profiles, the PBH abundance is enhanced by up to a factor of 10^{9}, and the PBH mass distribution is spread over 3 orders of magnitude in mass. The results point to a need to redo numerical simulations of PBH formation with spiky profiles.
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| http://dx.doi.org/10.1103/PhysRevLett.133.121403 | DOI Listing |
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