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arXiv 1803.04032gr-qc
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相对论性低Angular Momentum吸积:流体动力学无粘流的长时间演化

Relativistic Low Angular Momentum Accretion: Long Time Evolution of Hydrodynamical Inviscid Flows

Patryk Mach, Michał Piróg, José A. Font

摘要:

研究了无粘理想流体在Schwarzschild黑洞上的相对论性低角动量吸积。模拟进行了一般相对论,高分辨率(二阶),冲击捕捉,流体动力学数值代码。我们使用地平线穿透Eddington-Finkelstein坐标,以消除不准确的强引力区域附近的黑洞的地平线,并显示预期的收敛代码与米歇尔解决方案和固定的鱼骨Moncrief环面。我们恢复,在相对论流体力学的框架中,从以前的牛顿的研究,使用一个邦迪背景流在一个伪相对论引力势与纬度相关的角动量在外边界的定性行为。我们的模型表现出特征的“湍流”行为和获得的吸积率低于邦迪-米歇尔径向流。对于足够低的渐近声速值,几何厚环面形成在赤道平面周围的黑洞视界,而吸积主要是通过两极发生。

英文摘要:

We investigate relativistic low angular momentum accretion of inviscid perfect fluid onto a Schwarzschild black hole. The simulations are performed with a general-relativistic, high-resolution (second-order), shock-capturing, hydrodynamical numerical code. We use horizon-penetrating Eddington-Finkelstein coordinates to remove inaccuracies in regions of strong gravity near the black hole horizon and show the expected convergence of the code with the Michel solution and stationary Fishbone-Moncrief toroids. We recover, in the framework of relativistic hydrodynamics, the qualitative behavior known from previous Newtonian studies that used a Bondi background flow in a pseudo-relativistic gravitational potential with a latitude-dependent angular momentum at the outer boundary. Our models exhibit characteristic "turbulent" behavior and the attained accretion rates are lower than those of the Bondi-Michel radial flow. For sufficiently low values of the asymptotic sound speed, geometrically thick tori form in the equatorial plane surrounding the black hole horizon while accretion takes place mainly through the poles.

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