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arXiv 1107.1801astro-ph.HEgr-qc
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旋转有限云向中心物体吸积的解析解- II。史瓦西时空

Analytic solutions to the accretion of a rotating finite cloud towards a central object - II. Schwarzschild spacetime

Emilio Tejeda, Sergio Mendoza, John C. Miller

摘要:

我们建立了一个广义相对论模型,描述了一个由非相互作用粒子组成的旋转有限云落在Schwarzschild黑洞上的吸积流。流线从边界条件固定的球壳开始,一直到它们穿过黑洞视界或并入赤道薄盘的点。在定常和弹道运动的假设下,给出了流线和速度场的解析表达式。一种新的方法使我们能够用一个公式描述所有可能的轨道类型。本文提出了一种计算密度场的简单数值格式。该模型是Mendoza,Tejeda,Nagel,2009年开发的牛顿模型的相对论推广,由于其分析性质,它可以用于为广义相对论流体动力学代码提供基准,并在稳态和弹道运动的近似是合理的情况下,在涉及到黑洞吸积的应用中探索参数空间。

英文摘要:

We construct a general relativistic model for the accretion flow of a rotating finite cloud of non-interacting particles infalling onto a Schwarzschild black hole. The streamlines start at a spherical shell, where boundary conditions are fixed, and are followed down to the point at which they either cross the black hole horizon or become incorporated into an equatorial thin disc. Analytic expressions for the streamlines and the velocity field are given, in terms of Jacobi elliptic functions, under the assumptions of stationarity and ballistic motion. A novel approach allows us to describe all of the possible types of orbit with a single formula. A simple numerical scheme is presented for calculating the density field. This model is the relativistic generalisation of the Newtonian one developed by Mendoza, Tejeda, Nagel, 2009 and, due to its analytic nature, it can be useful in providing a benchmark for general relativistic hydrodynamical codes and for exploring the parameter space in applications involving accretion onto black holes when the approximations of steady state and ballistic motion are reasonable ones.

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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