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arXiv 0709.3839astro-phgr-qc
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双星黑洞合并的最终自旋估计

Estimating the final spin of a binary black hole coalescence

Alessandra Buonanno, Lawrence E. Kidder, Luis Lehner

摘要:

我们提出了一个简单的方法来估计最终的黑洞自旋的二元黑洞合并与任意的初始质量和自旋。通过一些简单的假设,我们估计最终角动量是单个自旋加上在最后一个稳定轨道上围绕Kerr黑洞运行的测试粒子的轨道角动量之和,其中最终黑洞具有自旋参数。我们得到的公式是能够再现合理的精度从现有的数值模拟的结果,但更重要的是,它可以用来调查什么配置可能会引起有趣的动态。特别是,我们讨论的情况下,可能会引起一个“翻转”的方向的系统的总角动量。通过研究最终自旋对质量比和初始自旋的依赖性,我们发现我们的简单方法表明,无论所涉及的物体的质量比如何,都不可能通过合并方案将黑洞自旋提升到极值。

英文摘要:

We present a straightforward approach for estimating the final black hole spin of a binary black hole coalescence with arbitrary initial masses and spins. Making some simple assumptions, we estimate the final angular momentum to be the sum of the individual spins plus the orbital angular momentum of a test particle orbiting at the last stable orbit around a Kerr black hole with a spin parameter of the final black hole. The formula we obtain is able to reproduce with reasonable accuracy the results from available numerical simulations, but, more importantly, it can be used to investigate what configurations might give rise to interesting dynamics. In particular, we discuss scenarios which might give rise to a ``flip'' in the direction of the total angular momentum of the system. By studying the dependence of the final spin upon the mass ratio and initial spins we find that our simple approach suggests that it is not possible to spin-up a black hole to extremal values through merger scenarios irrespective of the mass ratio of the objects involved.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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