Reissner-Nordström黑洞的束缚态谱与准正则模
Quasinormal modes of Reissner-Nordström black hole from bound state spectrum
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中文总结 AI 辅助
本文采用束缚态方法计算Reissner-Nordström黑洞的准正则模，对低阶模精度高，并通过同伦变形扩展至高阶模，且统一了极端与非极端情形的计算流程。
中文摘要 AI 辅助
我们应用一种新提出的束缚态方法，重新审视了Reissner-Nordström黑洞（RNBHs）的引力与电磁准正则模（QNMs）的计算。研究发现，对于低阶模（泛音数n≤3），该方法能给出高精度的QNM频率。对于更高阶泛音，精度有所下降，然而，对势能进行同伦变形使我们能够可靠地计算更多高阶泛音模。已知用于计算极端RNBH的QNM的连分式方法与用于非极端RNBH的方法显著不同。相比之下，束缚态方法展现出简洁性的优势：在极端情形下，只需考虑乌龟坐标的定义，其余计算过程与非极端情形完全相同。
英文摘要
We apply a newly proposed bound state method to revisit the computation of gravitational and electromagnetic quasinormal modes (QNMs) for Reissner-Nordström black holes (RNBHs). It is found that the method yields QNM frequencies of high accuracy for low-lying modes with overtones $n\leq3$. The accuracy degrades for higher overtones, however, a homotopy deformation to the potential enables us to compute more high overtone modes reliably. It is known that the continued fraction method for computing QNMs of extremal RNBHs differs significantly from that used for nonextremal ones. In contrast, the bound state method demonstrates advantage of simplicity: one only need to account for the definition of tortoise coordinate in the extremal case, and the rest of the computational procedure remains exactly the same as that for the nonextremal case.
发表机构
- South China Normal University（华南师范大学）
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