论文标题
遥远的蝇bys对二进制原始黑洞合并速率的影响
The impact of distant fly-bys on the rate of binary primordial black hole mergers
论文作者
论文摘要
通过对二元原始黑洞（PBH）系统的演变进行蒙特卡洛模拟，我们估算了单个PBHS遥远的相遇对二进制PBHS合并时间和合并速率的影响。我们发现，对于PBHS组成很大一部分暗物质的型号，$ f_ \ mathrm {pbh} \ sim 1 $，对于大多数二进制文件而言，聚合时间的预期分数变化可忽略不计，订单为$ 10^{ - 6} $。对于PBH丰度明显降低的模型，$ f_ \ Mathrm {pbh} \ ll 1 $，我们发现由于相遇而引起的二进制生命周期的平均变化可能与$ \ Mathcal {o}（O}（10^{ - 2}）$，少量的Binaries经历了一定的Binaries in Cornity nife nife offime in Lifetime。在没有相遇的情况下，我们还比较了合并时间的分析近似值来数值发展二进制系统，发现分析近似在合并时间内导致$ 10 \％$误差。但是，当考虑到这些效果时，计算出的合并速率的变化可以忽略不计，这对观察到的重力波信号引起的PBH丰度施加了以前的约束，从而在更安全的基础上合并了二进制黑洞。
By performing Monte Carlo simulations of the evolution of binary primordial black hole (PBH) systems, we estimate the effect of distant encounters with single PBHs upon the coalescence time and merger rate of binary PBHs. We find that, for models where PBHs compose a large fraction of dark matter, $f_\mathrm{PBH}\sim 1$, the expected fractional change in coalescence time is negligible, of order $10^{-6}$ for most binaries. For models with significantly lower PBH abundances, $f_\mathrm{PBH}\ll 1$, we find that the average change in binary lifetime due to encounters can be as large as $\mathcal{O}(10^{-2})$, with a small number of binaries experiencing an order unity change in lifetime. In the absence of encounters, we also compare the use of an analytic approximation for the coalescence time to numerically evolving the binary system, finding that the analytic approximation results in an order $10\%$ error in the coalescence time. However, when these effects are taken into consideration, there is a negligible change to the calculated merger rate, placing previous constraints on the PBH abundance arising from observed gravitational wave signals from merging binary black holes on a more secure footing.
