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arXiv 2410.03360gr-qcastro-ph.HE
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盘间反转面

Inter--disks inversion surfaces

D. Pugliese, Z. Stuchlik

AI总结:

本文研究克尔黑洞周围逆向旋转环面吸积流中的盘间反转面,分析其与内部同向旋转盘的位置关系,并给出不同自旋区间下同向旋转环体被反转面屏蔽的条件。

摘要:

我们考虑一个围绕中心克尔黑洞(BH)运行的逆向旋转环面,其无量纲自旋为 $a$,以及它向 BH 的吸积流,该结构由外部逆向旋转环面和内部同向旋转环面组成。本工作的重点是分析盘间反转面。反转面是时空曲面,由环向速度上 $u^ϕ=0$ 的条件定义,位于 BH 能层之外,并完全包围 BH。它们作为与时空参考系拖曳相关的必要条件而出现,用于进入中心克尔 BH 的逆向旋转流。在我们的分析中,我们研究了克尔时空的反转面,针对来自外部环面的逆向旋转流,该流撞击内部同向旋转盘。内部同向旋转环面(或喷流)完全或部分嵌入(位于内部)反转面时,可以分别完全或部分地“屏蔽”来自具有 $a u^ϕ<0$ 的流的撞击。我们证明,一般来说,在自旋 $a<0.551$ 的时空中,同向旋转环体始终位于吸积流反转面之外。对于 $0.551<a<0.886$,同向旋转环体可能部分位于流反转面内部(包括盘内边缘在内的盘内区域)。对于自旋 $a>0.886$ 的 BH,同向旋转环面可能完全嵌入反转面内,并且对于更大的自旋,它位于反转面内部。在 BH 外能层中运行的环面是一个特殊情况。文章中讨论了关于 BH 自旋的进一步约束。

英文摘要:

We consider a counter--rotating torus orbiting a central Kerr black hole (\textbf{BH}) with dimensionless spin $a$, and its accretion flow into the \textbf{BH}, in an agglomerate of an outer counter--rotating torus and an inner co--rotating torus. This work focus is the analysis of the inter--disks inversion surfaces. Inversion surfaces are spacetime surfaces, defined by the condition $u^ϕ=0$ on the flow torodial velocity, located out of the \textbf{BH} ergoregion, and totally embedding the \textbf{BH}. They emerge as a necessary condition, related to the spacetime frame--dragging, for the counter--rotating flows into the central Kerr \textbf{BH}. In our analysis we study the inversion surfaces of the Kerr spacetimes for the counter--rotating flow from the outer torus, impacting on the inner co--rotating disk. Being totally or partially embedded in (internal to) the inversion surfaces, the inner co--rotating torus (or jet) could be totally or in part ``shielded", respectively, from the impact with flow with $a u^ϕ<0$. We prove that, in general, in the spacetimes with $a<0.551$ the co--rotating toroids are always external to the accretion flows inversion surfaces. For $0.551<a<0.886$, co--rotating toroids could be partially internal (with the disk inner region, including the inner edge) in the flow inversion surface. For \textbf{BHs} with $a>0.886$, a co--rotating torus could be entirely embedded in the inversion surface and, for larger spins, it is internal to the inversion surfaces. Tori orbiting in the \textbf{BH} outer ergoregion are a particular case. Further constraints on the \textbf{BHs} spins are discussed in the article.

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