Correlation Function of High-Threshold Regions and Application to the Initial Small-Scale Clustering of Primordial Black Holes.
Correlation Function of High-Threshold Regions and Application to the Initial Small-Scale Clustering of Primordial Black Holes.
复制标题
高阈值区域的相关函数及其在原初黑洞初始小尺度聚类中的应用。
DOI：
10.1103/physrevlett.121.081304
复制
发表时间：
2018
影响因子：
8.6
通讯作者：
Yacine Ali
中科院分区：
文献类型：
--
作者：
Yacine Ali
LIGO 首次直接探测到双黑洞合并，使原始黑洞 (PBH) 重新成为人们关注的焦点。 PBH 的一个鲜为人知的特性是它们在形成时的聚集程度。它对于早期宇宙中它们合并的有效性以及观测限制具有重要意义。在这项工作中，我们研究了早期宇宙中大密度涨落的引力塌缩形成的PBH的初始集群。我们给出了一个简单而普遍的论点，表明在这种情况下，我们不期望在非常小的规模上进行聚类，超出随机泊松分布的预期。我们在基础密度场是高斯场的情况下明确说明了这个结果。此外，我们还推导了大阈值波动的两点相关函数的新解析表达式，将先前的结果推广到任意分离，并且具有比 PBH 聚类更广泛的含义。
Primordial black holes (PBHs) have been brought back into the spotlight by LIGO's first direct detection of a binary-black-hole merger. One of the poorly understood properties of PBHs is how clustered they are at formation. It has important implications on the efficacy of their merging in the early Universe, as well as on observational constraints. In this work, we study the initial clustering of PBHs formed from the gravitational collapse of large density fluctuations in the early Universe. We give a simple and general argument showing that, in this scenario, we do not expect clustering on very small scales beyond what is expected from a random, Poisson distribution. We illustrate this result explicitly in the case where the underlying density field is Gaussian. We moreover derive a new analytic expression for the two-point correlation function of large-threshold fluctuations, generalizing previous results to arbitrary separation, and with broader implications than the clustering of PBHs.
作为暗物质的原始黑洞
影响因子：
5
作者：
Carr, Bernard;Kuhnel, Florian;Sandstad, Marit
通讯作者：
Sandstad, Marit