旋转黑洞周围吸积盘的相对论体粘滞、剪切粘滞和剪应力粘滞的计算
Calculation of the relativistic Bulk Viscosity, Shear Viscosity and Shear-Stress Viscosity of Accretion Disks around the Rotating Black Holes
摘要：
本文研究了旋转黑洞周围相对论性吸积盘的相对论性体张量、剪切张量和剪切应力粘滞。我们计算了BLF中的体张量、剪切张量和切应力粘滞系数在赤道平面上的所有非零分量。得到了相对论性体张量、剪切张量和剪应力粘滞系数在四个速度分量和导数、Christoffel符号和度规分量下的关系。为了考察相对论性体张量、剪张量和剪应力粘滞度分量的性质，我们在LNRF中引入了四个速度径向分量的径向形式，然后在BLF中导出了体张量、剪张量和剪应力粘滞度的所有分量。给出了某些状态下体张量、剪切张量和剪切应力粘滞系数的非零分量图。本文研究了旋转黑洞周围的吸积盘中相对论性体粘滞系数的重要性及其影响。
英文摘要：
In this paper we study the relativistic bulk tensor, shear tensor and the shear stress viscosity of the relativistic accretion disks around the rotating black holes. we calculate all non-zero components of the bulk tensor, shear tensor and shear stress viscosity in the equatorial plan in the BLF. We obtain the relations of the relativistic bulk tensor, shear tensor and shear stress viscosity in the terms of components of four velocity and derivatives, Christoffel symbols and metric components. To see the behaviorr of the components of relativistic bulk tensor, shear tensor and shear stress viscosity, we introduce a radial form for the radial component of the four velocity in the LNRF then all components of the bulk tensor, shear tensor and shear stress viscosity are derived in BLF. Figures of non-zero components of the bulk tensor, shear tensor and shear stress viscosity are shown for some states. The importance and influence of the relativistic bulk viscosity in the accretion disks around the rotating black holes are studied in this paper.
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