Turduckening black holes: An Analytical and computational study

Turduckening black holes: An Analytical and computational study
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恐龙黑洞:一项分析和计算研究

DOI:
10.1103/physrevd.79.044023
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发表时间:
2008
期刊:
影响因子:
5
通讯作者:
M. Tiglio
M. Tiglio
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
David Brown;P. Diener;O. Sarbach;E. Schnetter;M. Tiglio

文献摘要

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我们对演化黑洞的火鸡技术的几个方面进行了详细分析。在分析层面,我们研究一系列爱因斯坦场方程公式的约束传播,并确定在什么条件下火鸡过程是严格合理的,以及在什么条件下约束违反将传播到黑洞的外部。我们提出了高分辨率球对称研究,验证了我们的分析预测。然后,我们使用土鸭方法和穿刺方法的不同变体对单个扭曲黑洞进行三维模拟。我们研究了这些不同方法对坐标条件、约束违反和提取的引力波的影响。我们发现这些波一致存在微小但不消失的差异,这是由逃逸超光速规范模式引起的。随着探测器位置的增加,这些差异变得更小。
We provide a detailed analysis of several aspects of the turduckening technique for evolving black holes. At the analytical level we study the constraint propagation for a family of formulations of Einstein's field equations and identify under what conditions the turducken procedure is rigorously justified and under what conditions constraint violations will propagate to the outside of the black holes. We present high resolution spherically symmetric studies which verify our analytical predictions. Then we present three-dimensional simulations of single distorted black holes using different variations of the turduckening method and also the puncture method. We study the effect that these different methods have on the coordinate conditions, constraint violations, and extracted gravitational waves. We find that the waves agree up to small but nonvanishing differences, caused by escaping superluminal gauge modes. These differences become smaller with increasing detector location.