论文标题
未对齐的光盘的透明裂痕我
Lense-Thirring Precession of Misaligned Discs I
论文作者
论文摘要
我们在动量方程式中使用引力术语来研究黑洞周围的无粘性和粘性未对准的$α-$盘的晶状体进攻。对于微弱的未对准，$ i \ lyssim 10^{\ circ} $，碟片的行为像僵硬的身体一样，经历了整个经典的谐波振荡器动力学套件，包括弱和严重减弱的运动（由于粘度）（由于粘性扭矩）（由于透镜 - 刺激扭矩）（由于透镜 - 刺激性）和固有属性（由于APSID PRESESSER）。对于强烈的未对准，$ i \ gtrsim 30^{\ circ} $，我们发现足够薄，$ h/r \ sillesim 0.05 $ 0.05 $盘折断，形成间隙，内部和外部订阅式的quasi quasi quasi与慢质量转移独立地分开。假设声速设置了光盘中的扭曲速度，我们可以通过要求内部的底盘进度像刚体一样估算破裂半径。我们首次使用网格代码明确表明需要爱因斯坦电位来重现内盘边缘的分析特性并找到盘破裂。在很大的倾斜角度上，我们发现多个光盘断裂，与最近对高度倾斜盘的GRMHD模拟一致。我们的结果表明，包含引力磁性项和适当的伪牛顿电位可捕获未对准盘的重要定量特征。
We study Lense-Thirring precession of inviscid and viscous misaligned $α-$discs around a black hole using a gravitomagnetic term in the momentum equation. For weak misalignments, $i \lesssim 10^{\circ}$, the discs behave like rigid bodies, undergoing the full suite of classical harmonic oscillator dynamics including, weak and critically damped motion (due to viscosity), precession (due to Lense-Thirring torque) and nutation (due to apsidal precession). For strong misalignments, $i \gtrsim 30^{\circ}$, we find sufficiently thin, $h/r \lesssim 0.05$ discs break, form a gap and the inner and outer sub-discs evolve quasi independently apart from slow mass transfer. Assuming the sound speed sets the communication speed of warps in the disc, we can estimate the breaking radius by requiring that the inner sub-disc precesses like a rigid body. We explicitly show for the first time using a grid code that an Einstein potential is needed to reproduce the analytic properties of the inner disc edge and find disc breaking. At large inclination angles we find multiple disc breaks, consistent with recent GRMHD simulations of highly inclined discs. Our results suggest that the inclusion of a gravitomagnetic term and appropriate pseudo-Newtonian potential captures the important quantitative features of misaligned discs.
