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arXiv 0708.3875astro-phgr-qc
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非高斯曲率扰动对原初黑洞形成的影响

The effect of non-Gaussian curvature perturbations on the formation of primordial black holes

J. C. Hidalgo

摘要:

本文探讨了非高斯宇宙学扰动对原始黑洞形成的影响。提出了一种曲率扰动的非高斯概率分布函数(PDF),并给出了三点关联函数对线性阶数的显式贡献。这种非高斯PDF的大扰动,形成PBH的后果进行了研究。利用非高斯参数$f_{NL}$的观测极限,在与PBH形成相关的尺度范围内,导出了曲率扰动的平均振幅的新界限。

英文摘要:

This paper explores the consequences of non-Gaussian cosmological perturbations for the formation of primordial black holes (PBHs). A non-Gaussian probability distribution function (PDF) of curvature perturbations is presented with an explicit contribution from the three-point correlation function to linear order. The consequences of this non-Gaussian PDF for the large perturbations that form PBHs are then studied. Using the observational limits for the non-Gaussian parameter $f_{NL}$, new bounds to the mean amplitude of curvature perturbations are derived in the range of scales relevant for PBH formation.

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