论文标题
由于与冷暗物质的相互作用和重力波事件的形成速率,原始二进制黑洞的演变
The evolution of a primordial binary black hole due to interaction with cold dark matter and the formation rate of gravitational wave events
论文作者
论文摘要
在本文中,我们考虑了由于重力相互作用与聚类冷暗物质(CDM)引起的二元原始黑洞(PBH)的轨道参数的形成和演变问题。质量和初始分离具有值,适用于通过合并二进制PBHS来解释Ligo/处女座事件的问题。我们认为使用数值和半分析手段以辐射为主和CDM主导了进化的阶段。我们表明,与标准值相比,在数值模拟的结束时,二进制二进制的半轴轴减小了大约一百倍,而其角动量减小了十倍,而标准值不考虑与CDM簇相关的效应。我们检查我们的结论几乎不受数值人工制品的影响。我们估计,由于忽略了与聚类相关的效果的标准情况,并且在考虑到这些效果时,并且在考虑到这些效果时,二进制PBH的合并速率均在当前时间估计,并且在考虑到集群相关的效果时,这些效应至少可以将合并率与与标准估计相比的$ 6-8 $倍。反过来,这意味着大量的PBHS($ f $)应该比以前假设的小。
In this Paper we consider a problem of formation and evolution of orbital parameters of a binary primordial black hole (PBH) due to gravitational interaction with clustering cold dark matter (CDM). Mass and initial separation have values, which are appropriate for the problem of explanation of the LIGO/Virgo events by coalescing binary PBHs. We consider both radiation dominated and CDM dominated stages of the evolution using numerical and semi-analytical means. We show that at the end time of our numerical simulations binary's semimajor axis decreases by approximately one hundred times, while its angular momentum decreases by ten times, in comparison to the standard values, which do not take into account effects associated with CDM clustering. We check that our conclusions are hardly affected by numerical artefacts. We estimate the merger rate of binary PBHs due to emission of gravitational wave at the present time both in the standard case when the effects associated with clustering are neglected and in the case when they are taken into account and show, that these effects could increase the merger rate at least by $6-8$ times in comparison to the standard estimate. This, in turn, means, that a mass fraction of PBHs, $f$, should be smaller than it was assumed before.