Isolated Horizons in Numerical Relativity
Isolated Horizons in Numerical Relativity
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数值相对论中的孤立视界
DOI：
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发表时间：
2002
期刊：
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通讯作者：
B. Krishnan
中科院分区：
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作者：
B. Krishnan
孤立视界框架应用于数值相对论。这个框架描述了在时空中处于平衡状态的黑洞，否则时空是完全动态的。我们引入孤立的地平线的方式，这是直接适用于数值演化。特别是，我们提出并数值实现了计算孤立视界的质量和角动量的坐标不变方法。我们还展示了如何孤立的视野可以用来研究一个黑洞的局部几何形状和提取不变的引力波形。我们应用孤立视界框架的一些结果计算了两个黑洞之间的结合能。这对于比较代表相似物理情况的不同初始数据集非常有用。最后，我们还提出了一种研究动态黑洞物理的方法。特别是，我们推导出平衡定律有关的物质场/辐射的流量与黑洞的物理参数，如角动量和质量的变化。
The isolated horizon framework is applied to numerical relativity. This framework describes black holes which are in equilibrium in a spacetime which is otherwise fully dynamical. We introduce isolated horizons in a way which is directly applicable in numerical evolutions. In particular, we present and numerically implement a coordinate invariant method for calculating the mass and angular momentum of isolated horizons. We also show how isolated horizons can be used to study the local geometry of a black hole and extract invariant gravitational waveforms. We apply some results from the isolated horizon framework to calculate the binding energy between two black holes. This will be useful in comparing different initial data sets which represent similar physical situations. Finally, we also present a method for studying the physics of dynamical black holes. In particular, we derive balance laws relating the flux of matter fields/radiation with the change in the physical parameters of the black hole such as angular momentum and mass.