论文标题
对三重黑洞的相对论影响：重新审视了burrau的问题
Relativistic Effects on Triple Black Holes: Burrau's Problem Revisited
论文作者
论文摘要
我们使用数值模拟探索质量和距离对三重黑洞系统进化的影响。在Burrau著名的3,4,5问题的方向上，黑洞最初被放置在毕达哥拉斯三角形的顶点。使用相对论校正（后纽顿后）进行轨道的数值集成，直到使用Arccode进行2.5 $^{th} $订单。作为系统演变的描述符，寿命，两体相遇的数量和合并的数量均已分析。我们发现，随着黑洞的质量单位的增加，与合并的比例（0.9868）有很强的正相关性，与两体相遇的平均数量（-0.9016）的平均数量很强的负相关性（-0.9016）以及三个系统的平均寿命衰减的平均寿命（确定系数为0.9986）。大约在10 $^{5.5} $ m $ _ {\ odot} $ -10 $^{5.6} $ m $ _ {\ odot} $的质量单位范围内，从Escape主导的动力学到合并主导的动力学。但是，在10 $^6 $ m $ _ {\ odot} $ - $ 10 $^{9} $ m $ _ {\ odot} $带有1个距离单位的$的情况下，我们发现25 \％的案件导致超级杂物黑洞（SMBH）的逃脱，这可能是一个引起Smbh smbh smbh smbh smbh ins in n wandering smbh s n andan callaxs的逃离。
We explore, using numerical simulations, the influence of mass and distance on the evolution of triple black hole systems. Following in the direction of Burrau's famous 3,4,5 problem, black holes are initially placed at the vertices of Pythagorean triangles. Numerical integration of orbits was conducted using relativistic corrections (post-Newtonian) up to the 2.5$^{th}$ order with ARCcode. As a descriptor of the evolution of the systems, the lifetimes, the number of two-body encounters and the number of mergers were all analysed. We found that as the mass unit of the black holes increased there was strong positive correlation with the fraction of mergers (0.9868), strong negative correlation with the average number of two-body encounters (-0.9016) and the average lifetimes of the triple systems decayed exponentially (determination coefficient of 0.9986). Around the mass unit range of 10$^{5.5}$M$_{\odot}$-10$^{5.6}$M$_{\odot}$, there was a transition from escape dominated dynamics to merger dominated dynamics. However, in the mass unit range of 10$^6$ M$_{\odot}$ $-$ 10$^{9}$M$_{\odot}$ with 1 pc distance unit, we find that 25\% of cases resulted in the escape of a supermassive black hole (SMBH) which may be a cause for wandering SMBH's found in some galaxies/galactic merger remnants.
