论文标题
旋转在黑洞三胞胎中的影响
The influence of spin in black hole triplets
论文作者
论文摘要
旋转会影响已经混乱的黑洞三胞胎系统的动力学。我们在两组模拟中遵循此问题：首先，Agekian-Anosova区域（或D区域），其次是使用毕达哥拉斯三角形的。我们使用ARCCODE，这是执行轨道数值集成的N体代码。此代码包括牛顿后校正，我们将其包括在第2.5阶的订单中。在我们的一个模拟中，我们将黑洞的质量固定在10 $^{6} $ m $ _ {\ odot} $中。然后，我们首先运行模拟，而无需添加任何旋转，然后通过在一个黑洞之一上初始旋转来进行模拟。我们发现，将旋转加入系统后，有12.9％的模拟改变了结果。系统要么从所有黑洞合并到有一个黑洞逃脱了系统，反之亦然。在第二组模拟中，我们源于毕达哥拉斯三角形作为黑洞的初始位置，这是由于Burrau的三体问题。我们将黑洞的质量从10 $^{0} $ m $ _ {\ odot} $变成10 $^{12} $ m $ _ {\ odot} $。这些系统中的黑洞在范围为0到0.95的标准化单元中被旋转。我们发现，中间的质量黑洞在10 $^{4} $ m $ _ {\ odot} $ -10 $^{5} $ m $ _ {\ odot} $的范围内受到最大的影响，尤其是在他们的寿命中。我们还发现，初始化为2D的模拟变为3D。
Spin can influence the dynamics of the already chaotic black hole triplet system. We follow this problem in two sets of simulations: first, the Agekian-Anosova region (or region D), and second, using Pythagorean triangles. We use ARCcode, an N-body code that performs numerical integration of orbits. This code includes post-Newtonian corrections, which we include up to the 2.5th order. In set one of our simulations, we fix the masses of the black holes at 10$^{6}$ M$_{\odot}$. Then we run the simulations first without any spin added and after by initialising spin on one of the black holes. We find that after including spin into the system, 12.9% of the simulations changed outcomes. Either the systems went from having all black holes merging to having a black hole escaping the system, or vice versa. In the second set of simulations, we expanded into Pythagorean triangles as initial positions of black holes, stemming from Burrau's three-body problem. We varied the masses of the black holes from 10$^{0}$ M$_{\odot}$ to 10$^{12}$ M$_{\odot}$. Black holes in these systems were given spin in normalised units ranging from 0 to 0.95. We find that intermediate mass black holes in the range of 10$^{4}$ M$_{\odot}$-10$^{5}$ M$_{\odot}$, were influenced the most by spin, particularly in their lifetimes. We also find that simulations, initialised as 2D, become 3D.
