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arXiv 2201.04383astro-ph.HE
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赝Kerr黑洞的跨音速吸积和风及其与广义相对论解的比较

Transonic accretion and winds around Pseudo-Kerr black holes and comparison with general relativistic solutions

Abhrajit Bhattacharjee, Sandip K. Chakrabarti, Dipak Debnath

摘要:

黑洞上吸积流的光谱和时间特性取决于它们的密度和温度分布,而密度和温度分布又来自于底层动力学。因此,准确地描述流动,包括流体动力学和辐射转移是解释观测结果的必要条件。在非旋转黑洞的情况下,周围时空的伪牛顿描述使人们能够在预测光谱和时间性质方面取得重大进展。旋转的黑洞缺少这种形式。在本文中,我们表明,存在一个确切的形式的“自然”的潜力可导出的广义相对论(GR)径向动量方程。在另一组牛顿方程中使用这种势可以非常精确地描述跨音速流动,这一点通过与从完整GR框架中得到的解进行比较而得到证明。在比能和角动量所构成的参数空间中,研究了临界点和离心压力支持激波的性质,并与GR流体力学的结果进行了比较。我们表明,这种潜力可以安全地用于整个范围内的克尔参数$-1<a<1$周围旋转黑洞的观测结果建模。我们假定流动是无粘性的。因此,它是非耗散的,具有恒定的能量和角动量。这些假设在非常接近黑洞的地方是有效的,因为与粘性时标相比,黑洞的下落时标要短得多。

英文摘要:

Spectral and timing properties of accretion flows on a black hole depend on their density and temperature distributions, which in turn come from the underlying dynamics. Thus, an accurate description of the flow which includes hydrodynamics and radiative transfer is a must to interpret the observational results. In the case of non-rotating black holes, Pseudo-Newtonian description of surrounding space-time enables one to make a significant progress in predicting spectral and timing properties. This formalism is lacking for spinning black holes. In this paper, we show that there exists an exact form of 'natural' potential derivable from the general relativistic (GR) radial momentum equation. Use of this potential in an otherwise Newtonian set of equations allows to describe transonic flows very accurately as is evidenced by comparing with solutions obtained from the full GR framework. We study the properties of the critical points and the centrifugal pressure supported shocks in the parameter space spanned by the specific energy and the angular momentum, and compare with the results of GR hydrodynamics. We show that this potential can safely be used for the entire range of Kerr parameter $-1<a<1$ for modeling of observational results around spinning black holes. We assume the flow to be inviscid. Thus, it is non-dissipative with constant energy and angular momentum. These assumptions are valid very close to the black hole as the infall timescale is much shorter as compared to the viscous timescale.

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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