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arXiv 0905.2378astro-ph.HEastro-ph.CO
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驱动喷流的黑洞的最大自旋

Maximum Spin of Black Holes Driving Jets

Andrew J. Benson, Arif Babul

摘要:

以高度准直喷流和宽风的形式出现的无限外流似乎是吸积黑洞系统的普遍特征。最强大的喷流被认为是从黑洞的旋转能量中获得了相当大的一部分,如果不是大部分的话。无论是什么精确的机制导致了它们,这些喷流因此必须对黑洞施加一个制动扭矩。我们计算的自旋吸积黑洞的功能,占这个制动力矩。我们发现,预测的黑洞自旋函数只依赖于黑洞自旋和描述吸积流的无量纲参数。利用最近的相对论磁流体动力学数值模拟结果来校准流中角动量传递的效率,我们发现在没有喷流的情况下,ADAF流将使黑洞旋转到最大自旋值的96%左右的平衡值.结合我们的ADAF系统与一个简单的模型喷气功率,我们证明了平衡达到约93%的最大自旋值,发现在数值模拟研究的自旋吸积黑洞,在这一点上的自旋吸积材料的孔是平衡的制动扭矩所产生的喷气生产。我们的模型还产生喷流效率和黑洞自旋之间的关系,这是令人惊讶的良好协议,在模拟研究中看到的,表明我们的简单模型是一个有用的和方便的描述ADAF流入-喷流流出的旋转黑洞纳入模型的形成和演化的星系,星系群和星系团。

英文摘要:

Unbounded outflows in the form of highly collimated jets and broad winds appear to be a ubiquitous feature of accreting black hole systems. The most powerful jets are thought to derive a significant fraction, if not the majority, of their power from the rotational energy of the black hole. Whatever the precise mechanism that causes them, these jets must therefore exert a braking torque on the black hole. We calculate the spin-up function for an accreting black hole, accounting for this braking torque. We find that the predicted black hole spin-up function depends only on the black hole spin and dimensionless parameters describing the accretion flow. Using recent relativistic magnetohydrodynamical numerical simulation results to calibrate the efficiency of angular momentum transfer in the flow, we find that an ADAF flow will spin a black hole up (or down) to an equilibrium value of about 96% of the maximal spin value in the absence of jets. Combining our ADAF system with a simple model for jet power, we demonstrate that an equilibrium is reached at approximately 93% of the maximal spin value, as found in the numerical simulation studies of the spin-up of accreting black holes, at which point the spin-up of the hole by accreted material is balanced by the braking torque arising from jet production. Our model also yields a relationship between jet efficiency and black hole spin that is in surprisingly good agreement with that seen in the simulation studies, indicating that our simple model is a useful and convenient description of ADAF inflow - jet outflow about a spinning black hole for incorporation in models of the formation and evolution of galaxies, groups and clusters of galaxies.

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