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，我们将研究围绕黑洞的增生磁盘的相对论理论。凭借其最内向的稳定圆形轨道磁盘可以非常紧密地接近黑洞。因此，吸积盘是对强力态度的完美探测。我们将通过相对论的流体在黑洞的外部几何形状中对积聚磁盘进行建模。为此，我们首先将通过两种互补方法得出积聚磁盘的运动方程：（i）从现象学梯度扩张方案和（ii）中的一般相对论动力学理论中。对于产生的有效的相对论流体动力学或流体理论运动方程，我们期望与时空曲率相连，这超出了特殊相对论的流体动力学方程的最小耦合，并且可能会对接近Steller黑洞的积聚磁盘产生一定的影响。然后，使用这种运动方程式，我们将研究（a）积聚盘的形式和结构，（b）最内向的稳定圆形轨道的物理学，（c）增生盘的振荡动力学，以及（d）增生速率，以及其他可观察的特性。计算结果将与可用观察结果进行比较。由于我们还将探索和测试强力态度，我们不仅将Kerr时空作为外部时空几何形状，而且还将形式主义应用于更一般的黑洞空间时间，还将形式主义应用于重力理论的黑洞解决方案。