论文标题
改编量规到黑孔后坐的准腹腔测量
Adapted gauge to a quasilocal measure of the black holes recoil
论文作者
论文摘要
我们在移动的穿刺公式中探索了不同的量规选择，以提高在二进制合并产生的残余黑洞中评估的线性动量度量的准确性。特别是，是由恒定值研究的动机，我们通过可变的移位参数$mη（\ vec {r}（t））$设计量规，以使其对低渐近线（以及在绕线穿刺）值进行低，而在最终孔地平线上的标准值为2的标准值。然后，这种选择遵循残留的黑洞，因为它由于其净后坐力速度而移动。我们发现，这种选择保持了二进制演化的准确性，一旦选择了$mη$的渐近值$mη$的渐近价值，它就会比对辐射速度的相应评估在无穷大的辐射速度上产生更准确的结果，典型的数值分辨率。我们还发现，与$ \ partial_0 $ -gauge相比，在这方面，$ \ partial_t $ -Gauge（在我们的工作解决方案上）的选择更准确。提供不平等质量的详细研究$ q = m_1/m_2 = 1/3 $非二进制二进制，然后对其他质量比$（q = 1/2,1/5）$（q = 1/2,1/5）$进行验证，并旋转$（q = 1）$二进制黑洞合并。
We explore different gauge choices in the moving puncture formulation in order to improve the accuracy of a linear momentum measure evaluated on the horizon of the remnant black hole produced by the merger of a binary. In particular, motivated by constant values studies, we design a gauge via a variable shift parameter $mη(\vec{r}(t))$ such that it takes a low asymptotic (and at the orbiting punctures) value, while about the standard value of 2 at the final hole horizon. This choice then follows the remnant black hole as it moves due to its net recoil velocity. We find that this choice keeps the accuracy of the binary evolution and, once the asymptotic value of the parameter $mη$ is chosen about or below 1.0, it produces more accurate results for the recoil velocity than the corresponding evaluation of the radiated linear momentum at infinity, for typical numerical resolutions. We also find that the choice of the $\partial_t$-gauge (at our working resolutions) is more accurate in this regard of computing recoil velocities than the $\partial_0$-gauge. Detailed studies of an unequal mass $q=m_1/m_2=1/3$ nonspinning binary are provided and then verified for other mass ratios $(q=1/2,1/5)$ and spinning $(q=1)$ binary black hole mergers.
