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arXiv 0810.4735gr-qchep-th
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两个黑洞的高速碰撞

High-velocity collision of two black holes

Masaru Shibata, Hirotada Okawa, Tetsuro Yamamoto

摘要:

研究了两个黑洞与高速$v=|dx^i/dx^0|=0.6$ -- $0.9c$在无穷远处的非轴对称碰撞,其中$x^μ$表示四维坐标。我们准备了两个提升BH的初始条件,这是从一个简单的移动穿刺方法计算不同。通过对数值结果的外推,我们发现对于$v \to c$,碰撞参量必须小于$\approx 2.5GM_0/c^2$才能在碰撞中形成BH,其中$M_0 c^2$是系统的初始总ADM质量能量.在碰撞参量的临界值下,$v=0.6$ -$0.9c$的质量能量和角动量的20- 30%和60- 70%被引力辐射耗散。

英文摘要:

We study nonaxisymmetric collision of two black holes (BHs) with a high velocity $v=|dx^i/dx^0|=0.6$--$0.9c$ at infinity, where $x^μ$ denotes four-dimensional coordinates. We prepare two boosted BHs for the initial condition which is different from that computed by a simple moving-puncture approach. By extrapolation of the numerical results, we find that the impact parameter has to be smaller that $\approx 2.5GM_0/c^2$ for formation of a BH in the collision for $v \to c$, where $M_0 c^2$ is the initial total ADM mass energy of the system. For the critical value of the impact parameter, 20--30% of mass energy and 60--70% of angular momentum are dissipated by gravitational radiation for $v=0.6$--$0.9c$.

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