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arXiv 1504.04010gr-qcastro-ph.HEhep-th
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磁荷Reissner-Nordström黑洞激发不稳定谱普适性的数值证据

Numerical evidence for universality in the excited instability spectrum of magnetically charged Reissner-Nordström black holes

Shahar Hod

备注：
4 pages
发表信息：
The European Physical Journal C 75, 180 (2015)
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摘要：

众所周知，Einstein-Yang-Mills理论的SU（2）Reissner-Nordström黑洞解的特征在于一组无限的不稳定（虚）本征值$\{ω_n(T_{\text{BH}})\}_{n=0}^{n=\infty}$（这里$T_{\text{BH}}$是黑洞温度）。本文分析了这些磁荷黑洞的激发不稳定谱。数值结果表明，这些黑洞激发本征值存在一个普遍的行为。特别是，我们表明，不稳定的本征值在政权$ω_n\ll T_{\text{BH}}$的特点，以一个非常好的准确度，由简单的通用关系$ω_n(r_+-r_-)={\text{constant}}$，其中$r_{\pm}$是视界半径的黑洞。

英文摘要：

It is well-known that the SU(2) Reissner-Nordström black-hole solutions of the Einstein-Yang-Mills theory are characterized by an infinite set of unstable (imaginary) eigenvalues $\{ω_n(T_{\text{BH}})\}_{n=0}^{n=\infty}$ (here $T_{\text{BH}}$ is the black-hole temperature). In this paper we analyze the excited instability spectrum of these magnetically charged black holes. The numerical results suggest the existence of a universal behavior for these black-hole excited eigenvalues. In particular, we show that unstable eigenvalues in the regime $ω_n\ll T_{\text{BH}}$ are characterized, to a very good degree of accuracy, by the simple universal relation $ω_n(r_+-r_-)={\text{constant}}$, where $r_{\pm}$ are the horizon radii of the black hole.

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