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arXiv 0906.2398astro-ph.HEgr-qc
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吸积黑洞的时空约束

Spacetime constraints on accreting black holes

David Garofalo

摘要:

利用解析方法研究了旋转Kerr黑洞吸积对自旋的依赖性。在线性区,MHD湍流吸积流中的角动量输运涉及到差动旋转流中连接等离子体的径向磁场的产生。我们采取第一原理的方法,突出的约束,限制了径向磁场的产生和放大,源于能量从机械到磁的形式转移。由于以磁性形式转移的能量最终受到引力势能或Killing能量的约束,后者的自旋依赖性允许我们推导出吸积等离子体成功驱逐其角动量和吸积的自旋依赖性约束。我们发现这种能力和黑洞自旋之间存在反比关系。如果这种径向磁场的产生形成吸积流的角动量转移的基础上,涉及克尔黑洞的吸积率预计将较低的黑洞自旋增加的Ekde意义。

英文摘要:

We study the spin dependence of accretion onto rotating Kerr black holes using analytic techniques. In its linear regime, angular momentum transport in MHD turbulent accretion flow involves the generation of radial magnetic field connecting plasma in a differentially rotating flow. We take a first principles approach, highlighting the constraint that limits the generation and amplification of radial magnetic fields, stemming from the transfer of energy from mechanical to magnetic form. Because the energy transferred in magnetic form is ultimately constrained by gravitational potential energy or Killing energy, the spin-dependence of the latter allows us to derive spin-dependent constraints on the success of the accreting plasma to expel its angular momentum and accrete. We find an inverse relationship between this ability and black hole spin. If this radial magnetic field generation forms the basis for angular momentum transfer in accretion flows, accretion rates involving Kerr black holes are expected to be lower as the black hole spin increases in the prograde sense.

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