论文标题
从重力波透镜统计中推断中间质量黑孔数密度
Inferring the Intermediate Mass Black Hole Number Density from Gravitational Wave Lensing Statistics
论文作者
论文摘要
中间质量黑洞的种群特性在很大程度上未知，并且了解它们的分布可能会在形成超质量的黑洞和星系中缺失。引力波观测可以帮助填补从恒星质量黑洞到超大质黑洞的空白。在我们的工作中，我们提出了一种通过重力波的镜头统计来探测镜头种群的新方法，在这里着重于推断中间质量黑洞的数量密度。使用层次的贝叶斯对注射透镜引力波的推断，我们发现现有的在设计敏感性处的引力波观测值可以识别注射的数量密度为$ 10^6 \ Mathrm {MPC}^{ - 3} $，或放置$ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Mathrm Mathrm Mathrm Mathrm Mathrm {Mpc}^Mpc} $ 10^3 \ mathrm {mpc}^{ - 3} $。更广泛地说，我们的方法也可以应用于其他形式的紧凑型物质。
The population properties of intermediate mass black holes remain largely unknown, and understanding their distribution could provide a missing link in the formation of supermassive black holes and galaxies. Gravitational wave observations can help fill in the gap from stellar mass black holes to supermassive black holes. In our work, we propose a new method for probing lens populations through lensing statistics of gravitational waves, here focusing on inferring the number density of intermediate mass black holes. Using hierarchical Bayesian inference of injected lensed gravitational waves, we find that existing gravitational wave observatories at design sensitivity could either identify an injected number density of $10^6 \mathrm{Mpc}^{-3}$ or place an upper bound of $\lesssim 10^4 \mathrm{Mpc}^{-3}$ for an injected $10^3 \mathrm{Mpc}^{-3}$. More broadly, our method could be applied to probe other forms of compact matter as well.
