论文标题
轴对称，固定无碰撞的无碰撞气体构型在黑洞周围
Axisymmetric, stationary collisionless gas configurations surrounding black holes
论文作者
论文摘要
假设气体由无碰撞，相同的巨大颗粒组成，这些固定气体的特性将讨论黑洞周围的固定气云的特性，这些气体由Schwarzschild时空中的空间结合的大地测量轨道遵循。考虑了几种粒子分布函数的模型，并描述了相关的宏观观测值的必需公式，例如当前密度四载体和应力 - 能量 - 摩肌张量。这是通过将这些可观察物作为运动常数的积分和对整合范围进行仔细分析来实现的。特别是，我们提供具有有限的总质量和角动量的配置。分析了这些配置及其在牛顿潜力中的非同行对应物之间的差异。最后，将我们的配置与它们的流体动力类似物“波兰甜甜圈”进行了比较。
The properties of a stationary gas cloud surrounding a black hole are discussed, assuming that the gas consists of collisionless, identical massive particles that follow spatially bound geodesic orbits in the Schwarzschild spacetime. Several models for the one-particle distribution function are considered, and the essential formulae that describe the relevant macroscopic observables, like the current density four-vector and the stress-energy-momentum tensor are derived. This is achieved by rewriting these observables as integrals over the constants of motion and by a careful analysis of the range of integration. In particular, we provide configurations with finite total mass and angular momentum. Differences between these configurations and their nonrelativistic counterparts in a Newtonian potential are analyzed. Finally, our configurations are compared to their hydrodynamic analogues, the "polish doughnuts".
