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arXiv 2204.01412astro-ph.HE
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黑洞周围广义相对论磁流体动力学吸积流的研究

Study of general relativistic magnetohydrodynamic accretion flow around black holes

Samik Mitra, Debaprasad Maity, Indu Kalpa Dihingia, Santabrata Das

摘要:

提出了一种新的方法来研究在完全广义相对论(GR)下黑洞周围稳定的、轴对称的、对流的、几何薄的磁流体动力学(MHD)吸积流的全局结构。考虑到理想的磁流体动力学条件和相对论性状态方程,我们求解了控制方程,得到了所有可能的光滑整体吸积解。我们研究吸积物质的流动参数,即能量(${\cal E}$),角动量(${\cal L}$),和本地磁场的动力学和热力学性质。对于薄的GRMHD流,我们观察到,环形分量($b^ϕ$)的磁场通常占主导地位的径向分量($b^r$)在磁盘赤道平面。这表明环向磁场在盘的动力学过程中确实起着重要的调节作用。我们进一步注意到,除了在近地平线区域,磁场在动力学上变得重要($β\sim 1$),盘仍然主要是气体压力($p_{\rm gas}$)主导($β= p_{\rm gas}/p_{\rm mag} > 1$,$p_{\rm mag}$指磁压)。我们观察到,麦克斯韦应力的发展,最终产生角动量运输内的磁盘。为此,我们计算的粘度参数($α$),似乎是径向变化。此外,我们研究了潜在的缩放关系之间的$α$和$β$,它清楚地区分两个域共存沿径向范围的磁盘。最后,我们讨论了本形式主义在GRMHD模拟研究领域的效用。

英文摘要:

We present a novel approach to study the global structure of steady, axisymmetric, advective, geometrically thin, magnetohydrodynamic (MHD) accretion flow around black holes in full general relativity (GR). Considering ideal MHD conditions and relativistic equation of state (REoS), we solve the governing equations to obtain all possible smooth global accretion solutions. We examine the dynamical and thermodynamical properties of accreting matter in terms of the flow parameters, namely energy (${\cal E}$), angular momentum (${\cal L}$), and local magnetic fields. For a thin GRMHD flow, we observe that toroidal component ($b^ϕ$) of the magnetic fields generally dominates over radial component ($b^r$) at the disk equatorial plane. This evidently suggests that toroidal magnetic field indeed plays important role in regulating the disk dynamics. We further notice that the disk remains mostly gas pressure ($p_{\rm gas}$) dominated ($β= p_{\rm gas}/p_{\rm mag} > 1$, $p_{\rm mag}$ refers magnetic pressure) except at the near horizon region, where magnetic fields become dynamically important ($β\sim 1$). We observe that Maxwell stress is developed that eventually yields angular momentum transport inside the disk. Towards this, we calculate the viscosity parameter ($α$) that appears to be radially varying. In addition, we examine the underlying scaling relation between $α$ and $β$, which clearly distinguishes two domains coexisted along the radial extent of the disk. Finally, we discuss the utility of the present formalism in the realm of GRMHD simulation studies.

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