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arXiv 1408.0884astro-ph.HE
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相对论性进动模型的解

Solutions to the relativistic precession model

Adam Ingram, Sara Motta

摘要:

当吸积黑洞的功率密度谱中存在一组准周期振荡时,相对论性进动模型(RPM)可以用来精确测量黑洞的质量和自旋.然而,在以往的研究中,RPM方程的解只能通过数值方法获得,其代价是大量的计算工作。在这里,我们证明了RPM方程组可以解析求解,大大减少了计算量,现在仅限于蒙特卡罗模拟估计的不确定性。分析方法不仅提供了一个简单的解决方案,RPM系统时,三个振荡被检测到,但在所有的情况下,其中两个同时振荡的检测是一个独立的质量测量耦合。我们还提出了一个计算成本低的方法,把限制黑洞的质量和自旋时,只有两个振荡观察。

英文摘要:

The relativistic precession model (RPM) can be used to obtain a precise measurement of the mass and spin of a black hole when the appropriate set of quasi periodic oscillations is detected in the power-density spectrum of an accreting black hole. However, in previous studies the solution of the RPM equations could be obtained only through numerical methods at a price of an intensive computational effort. Here we demonstrate that the RPM system of equations can be solved analytically, drastically reducing the computational load, now limited to the Monte-Carlo simulation necessary to estimate the uncertainties. The analytical method not only provides an easy solution to the RPM system when three oscillations are detected, but in all the cases where the detection of two simultaneous oscillations is coupled with an independent mass measurement. We also present a computationally inexpensive method to place limits on the black hole mass and spin when only two oscillations are observed.

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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