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arXiv 2005.09761gr-qchep-th
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阴影半径与黑洞准正规频率的解析对应

Analytical correspondence between shadow radius and black hole quasinormal frequencies

B. Cuadros-Melgar, R. D. B. Fontana, Jeferson de Oliveira

摘要:

我们考虑了最近由事件视界望远镜观测到的黑洞阴影所带回的拟正规模和测地量的等价性。利用WKB方法得到了程函极限下的拟正规频率实部与黑洞阴影半径之间的解析关系。我们分别用$4$和$D$维中的两个黑洞族验证了这种对应关系。

英文摘要:

We consider the equivalence of quasinormal modes and geodesic quantities recently brought back due to the black hole shadow observation by Event Horizon Telescope. Using WKB method we found an analytical relation between the real part of quasinormal frequencies at the eikonal limit and black hole shadow radius. We verify this correspondence with two black hole families in $4$ and $D$ dimensions, respectively.

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