重整化群改进的Dymnikova正则黑洞的准正规模式
Quasinormal modes of renormalization group improved Dymnikova regular black holes
AI总结：
本文计算了重整化群改进的Dymnikova正则黑洞的精确准正规频率，发现量子修正对基模影响轻微但对泛音影响显著，并提出了将Leaver方法推广到非有理函数度规的通用程序。
摘要：
我们求得了在重整化群理论中通过坐标无关迭代程序构造的量子修正黑洞的精确准正规频率，该构造导致Dymnikova正则黑洞。我们表明，虽然基模仅受到量子修正的轻微影响，但泛音的变化速率要大得多。泛音的这种爆发式变化源于Schwarzschild黑洞几何仅在事件视界附近的变形。为了求得泛音的精确值，我们发展了一种通用程序，使得Leaver方法能够应用于那些最初不能用有理函数表示的度规。
英文摘要：
We find accurate quasinormal frequencies of a quantum corrected black hole constructed in the renormalization group theory via the coordinate-independent iterative procedure, leading to the Dymnikova regular black hole. We show that while the fundamental mode is only slightly affected by the quantum correction, the overtones change at a much stronger rate. This outburst of overtones occurs because of the deformation of the geometry of the Schwarzschild black hole solely near the event horizon. For finding accurate values of overtones we developed a general procedure allowing one to use the Leaver method to metrics which, initially, are not expressed in terms of rational functions.
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