自引力对黑洞-环面系统逃逸不稳定性的影响
Influence of self-gravity on the runaway instability of black hole-torus systems
摘要：
首次对平衡状态下被自引力环面包围的黑洞系统进行了完全广义相对论性轴对称数值模拟，研究了环面自引力对逃逸不稳定性的影响.我们考虑了几种不同的环面与黑洞质量比和角动量分布的模型，这些模型围绕一个非旋转的黑洞平衡运行。环面受到扰动，导致质量向黑洞转移。我们的数值模拟结果表明，所有的模型表现出一个持久的阶段的轴对称振荡围绕其平衡的几个动力学时间尺度没有出现失控的不稳定性，表明环面的自引力不起关键作用，有利于发病的不稳定性，至少在前几个动力学时间尺度。
英文摘要：
Results from the first fully general relativistic numerical simulations in axisymmetry of a system formed by a black hole surrounded by a self-gravitating torus in equilibrium are presented, aiming to assess the influence of the torus self-gravity on the onset of the runaway instability. We consider several models with varying torus-to-black hole mass ratio and angular momentum distribution orbiting in equilibrium around a non-rotating black hole. The tori are perturbed to induce the mass transfer towards the black hole. Our numerical simulations show that all models exhibit a persistent phase of axisymmetric oscillations around their equilibria for several dynamical timescales without the appearance of the runaway instability, indicating that the self-gravity of the torus does not play a critical role favoring the onset of the instability, at least during the first few dynamical timescales.
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