Quasi-spherical light cones of the Kerr geometry
Quasi-spherical light cones of the Kerr geometry
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DOI：
10.1088/0264-9381/15/8/012
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发表时间：
1998-03
影响因子：
3.5
通讯作者：
F. Pretorius;W. Israel
中科院分区：
文献类型：
--
作者：
F. Pretorius;W. Israel
准球形光锥是克尔几何的光状超曲面，渐近于无穷远处的明可夫斯基光锥。我们推导出这些表面的方程并检查它们的性质。特别是，我们表明对于克尔径向坐标 r 的所有正值，它们都没有焦散。有用的应用包括高频波的传播、旋转黑洞的类克鲁斯卡尔坐标的定义以及特征初始值问题。
Quasi-spherical light cones are lightlike hypersurfaces of the Kerr geometry that are asymptotic to Minkowski light cones at infinity. We derive the equations of these surfaces and examine their properties. In particular, we show that they are free of caustics for all positive values of the Kerr radial coordinate r. Useful applications include the propagation of high-frequency waves, the definition of Kruskal-like coordinates for a spinning black hole and the characteristic initial-value problem.