General Relativistic theory of viscous accretion disks around Black Holes

黑洞周围粘性吸积盘的广义相对论理论

• 批准号: 330061340
• 负责人: Professor Dr. Claus Lämmerzahl
• 金额: --
• 依托单位: Zentrum für angewandte Raumfahrttechnologie und Mikrogravitation (ZARM)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/330061340?language=en
• 关键词: General; Relativistic; theory; viscous; accretion

In this project we will study the relativistic theory of accretion disks around Black Holes. With their innermost stable circular orbits accretion disks can approach Black Holes very closely. Thus, accretion disks are a perfect probe of the strong gravity regime. We will model accretion disks by relativistic fluids with viscosity in the external geometry of a Black Hole. For that we first will derive the equations of motion for the accretion disks with two complementary methods: (i) from the phenomenological gradient expansion scheme and (ii) from the general relativistic kinetic theory. For the resulting effective relativistic hydrodynamical or fluid theoretical equations of motion we expect additional couplings to space-time curvature which are beyond the minimal coupling of the special relativistic hydrodynamical equations and which may have some influence on the accretion disk near to steller Black Holes. Using this equation of motion we then will investigate (a) the form and structure of the accretion disks, (b) the physics of the innermost stable circular orbits, (c) the oscillatory dynamics of accretion disks, and (d) the accretion rate, and other observable properties. The results of the calculations will be compared with available observations. Since we also will explore and test the strong gravity regime we will not only assume the Kerr space-time as external space-time geometry, but apply the formalism also to more general Black Hole space-times and also to Black Hole solutions of generalized theories of gravity.

在这个项目中，我们将研究黑洞周围吸积盘的相对论理论。吸积盘有着最内层的稳定圆形轨道，可以非常接近黑洞。因此，吸积盘是强引力体系的完美探测器。我们将在黑洞的外部几何模型的相对论流体的粘度吸积盘。为此，我们首先将用两种互补的方法导出吸积盘的运动方程：（i）从唯象梯度展开方案和（ii）从广义相对论动力学理论。对于由此产生的有效的相对论流体动力学或流体理论运动方程，我们期望额外的时空曲率耦合，这超出了特殊相对论流体动力学方程的最小耦合，并且可能对恒星黑洞附近的吸积盘产生一些影响。利用这个运动方程，我们将研究（a）吸积盘的形式和结构，（B）最内层稳定圆轨道的物理学，（c）吸积盘的振荡动力学，（d）吸积率和其他可观测的性质。计算结果将与现有观测结果进行比较。由于我们也将探索和检验强引力体系，我们不仅将克尔时空假设为外部时空几何，而且还将形式主义应用于更一般的黑洞时空，以及广义引力理论的黑洞解。