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arXiv 1803.09896astro-ph.HE
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Kerr度规中低angular momentum吸积流的线性扰动和相应的突现引力现象

Linear perturbations of low angular momentum accretion flow in the Kerr metric and the corresponding emergent gravity phenomena

Md Arif Shaikh, Tapas Kumar Das

摘要:

对于物质落在旋转黑洞上的特定几何构型,我们发展了一种新的线性微扰分析方法,对流体动力学流体的定态低角动量、无粘、正压、无旋、广义相对论吸积进行了定态积分吸积解的稳定性分析.我们证明了这种稳态在线性扰动下保持稳定,因此稳态解对于利用吸积现象探测黑洞时空是可靠的。我们报告说,这种稳定性分析过程的结果是出现了相对论声学几何。我们详细研究了声波几何的各种性质。我们构建因果结构,建立一对一的对应关系的声波点与声学黑洞地平线,和冲击的位置与声学白洞地平线。我们讨论了旋转黑洞的自旋对这种声学时空出现的影响。

英文摘要:

For certain geometric configuration of matter falling onto a rotating black hole, we develop a novel linear perturbation analysis scheme to perform the stability analysis of stationary integral accretion solutions corresponding to the steady state low angular momentum, inviscid, barotropic, irrotational, general relativistic accretion of hydrodynamic fluid. We demonstrate that such steady states remain stable under linear perturbation, and hence the stationary solutions are reliable to probe the black hole spacetime using the accretion phenomena.We report that a relativistic acoustic geometry emerges out as the consequence of such stability analysis procedure. We study various properties of that sonic geometry in detail. We construct the causal structures to establish the one to one correspondences of the sonic points with the acoustic black hole horizons, and the shock location with an acoustic white hole horizon. The influence of the spin of the rotating black holes on the emergence of such acoustic spacetime has been discussed.

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