论文标题

使用地平线穿透性,倍曲面压实的坐标来计算Teukolsky方程的准模式和特征函数

Computing the quasinormal modes and eigenfunctions for the Teukolsky equation using horizon penetrating, hyperboloidally compactified coordinates

论文作者

Ripley, Justin L.

论文摘要

我们在透明,双粘性压缩(HPHC)坐标系统中研究Teukolsky方程的准模式特征值和特征函数。在Zenginoğlu(Arxiv:1102.2451)的早期工作之后,我们表明Teukolsky方程的准本征函数是从黑洞地平线到这些坐标的未来零无限的常规的。然后,我们提出了几个示例的准本征溶液,并研究了它们在近超级Kerr限制中的某些特性。

We study the quasinormal mode eigenvalues and eigenfunctions for the Teukolsky equation in a horizon penetrating, hyperboloidally compactified (HPHC) coordinate system. Following earlier work by Zenginoğlu (arXiv:1102.2451), we show that the quasinormal eigenfunctions for the Teukolsky equation are regular from the black hole horizon to future null infinity in these coordinates. We then present several example quasinormal eigenfunction solutions, and study some of their properties in the near-extremal Kerr limit.

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