论文标题
公制预热的原始黑洞：偏移量方法中的质量分数
Primordial black holes from metric preheating: mass fraction in the excursion-set approach
论文作者
论文摘要
我们计算预热期间产生的原始黑洞（PBH）的质量分布。通货膨胀后，在其潜在来源底部，充气量的振荡对于小尺度标量扰动而言可能会塌陷成黑洞。在以教学方式审查了文献中开发的不同技术以计算PBHS的质量分布之后，我们重点介绍了偏移集的方法。我们得出一个有时会遇到的无奇异性的Volterra积分方程，并将其应用于度量预热的情况。我们发现，如果不稳定性停止的能量密度，即$ρ_γ$，足够小于通货膨胀结束的能量密度，$ρ_\ mathrm {end} $，即，如果$ρ_γ^{1/4}/ρ_\ mathrm {end Mathrm {end}^{1/4}^{1/4}^{1/4}^{1/4}^{1/4} < 10^{ - 5}（ρ_\ Mathrm {end}^{1/4}/10^{16} \ Mathrm {gev}）^{3/2} $，然后PBHS在振荡阶段的末尾占据了Universe内容。这证实了先前对ARXIV的分析：1907.04236。通过正确考虑“云中的云”机制，我们发现质量分布在低质量下比以前想象的要更受抑制，并且在通货膨胀结束时峰值高于哈勃质量的数量级。峰值质量范围从$ 10 $ g到出色的群众，引起了我们讨论的不同宇宙学影响。
We calculate the mass distribution of Primordial Black Holes (PBHs) produced during metric preheating. After inflation, the oscillations of the inflaton at the bottom of its potential source a parametric resonant instability for small-scale scalar perturbations, that may collapse into black holes. After reviewing in a pedagogical way different techniques that have been developed in the literature to compute mass distributions of PBHs, we focus on the excursion-set approach. We derive a Volterra integral equation that is free of a singularity sometimes encountered, and apply it to the case of metric preheating. We find that if the energy density at which the instability stops, $ρ_Γ$, is sufficiently smaller than the one at which inflation ends, $ρ_\mathrm{end}$, namely if $ρ_Γ^{1/4}/ρ_\mathrm{end}^{1/4}< 10^{-5}(ρ_\mathrm{end}^{1/4}/10^{16}\mathrm{GeV})^{3/2}$, then PBHs dominate the universe content at the end of the oscillatory phase. This confirms the previous analysis of arXiv:1907.04236 . By properly accounting for the "cloud-in-cloud" mechanism, we find that the mass distribution is more suppressed at low masses than previously thought, and peaks several orders of magnitude above the Hubble mass at the end of inflation. The peak mass ranges from $10$ g to stellar masses, giving rise to different possible cosmological effects that we discuss.
