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arXiv 1302.3135astro-ph.COastro-ph.GAgr-qc
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团簇中致密双星的相对论合并:自旋指纹

Relativistic mergers of compact binaries in clusters: The fingerprint of the spin

Patrick Brem, Pau Amaro-Seoane, Rainer Spurzem

摘要:

致密的恒星系统,如球状星团和致密的核星团,是先进探测器LIGO和Virgo的引力波源的滋生地。这些系统值得仔细研究,估计率和参数分布。这不是一件容易的事,因为致密星团的演化涉及到$N$天体的整合,这些天体在时间和空间上具有高分辨率,包括硬双星及其遭遇,在引力波(GW)的情况下,需要考虑重要的相对论修正。在这项工作中,我们提出了第一个实施的自旋合并中的直接求和代码,NBODY6的效果。我们采用非自旋后牛顿修正的牛顿加速度高达3.5后牛顿(PN)的顺序,以及自旋轨道耦合到下一个到最低阶和最低阶自旋自旋耦合。我们整合自旋进动,并增加一个一致的处理合并。我们通过运行一组两体实验来分析实现,然后我们运行一组相对论性星团的500个模拟。尽管在我们的测试中有大量的合并,该算法的应用是强大的。我们发现,特别是形成一个失控的明星,其自旋衰减的质量赢得,独立的初始值的自旋的恒星。更值得注意的是,没有经历多次合并的致密天体的子集,因此代表了一个更真实的系统,在最终的绝对自旋和初始分布的初始选择之间存在相关性,一旦第一次探测开始,这可以为我们提供关于致密星系团中自旋演化的信息。

英文摘要:

Dense stellar systems such as globular clusters and dense nuclear clusters are the breeding ground of sources of gravitational waves for the advanced detectors LIGO and Virgo. These systems deserve a close study to estimate rates and parameter distribution. This is not an easy task, since the evolution of a dense stellar cluster involves the integration of $N$ bodies with high resolution in time and space and including hard binaries and their encounters and, in the case of gravitational waves (GWs), one needs to take into account important relativistic corrections. In this work we present the first implementation of the effect of spin in mergers in a direct-summation code, NBODY6. We employ non-spinning post-Newtonian corrections to the Newtonian accelerations up to 3.5 post-Newtonian (PN) order as well as the spin-orbit coupling up to next-to-lowest order and the lowest order spin-spin coupling. We integrate spin precession and add a consistent treatment of mergers. We analyse the implementation by running a set of two-body experiments and then we run a set of 500 simulations of a relativistic stellar cluster. In spite of the large number of mergers in our tests, the application of the algorithm is robust. We find in particular the formation of a runaway star whose spin decays with the mass it wins, independently of the initial value of the spins of the stars. More remarkably, the subset of compact objects that do not undergo many mergers, and hence represent a more realistic system, has a correlation between the final absolute spin and the initial choice for the initial distribution, which could provide us with information about the evolution of spins in dense clusters once the first detections have started.

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