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arXiv 1812.01014gr-qcastro-ph.HEhep-th
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具有最快弛豫速率的Reissner-Nordström黑洞

The Reissner-Nordström black hole with the fastest relaxation rate

Shahar Hod

备注：
5 pages
发表信息：
The European Physical Journal C 78, 935 (2018)
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摘要：

对Kerr-Newman黑洞的准正规共振谱的大量{ \it数值}研究揭示了一个有趣的事实，即这些正则黑洞时空的特征弛豫时间$τ({\bar a},{\bar Q})$可以用二维函数${\bar τ}\equiv τ/M$来描述，该函数随着无量纲角动量参数${\bar a}\equiv J/M^2$的值的增加而单调增加，此外，的特征在于一个非平凡的（{ \it非}-单调的）功能依赖于无量纲电荷参数${\bar Q}\equiv Q/M$。特别是，以前的数值研究表明，在球对称带电Reissner-Nordström时空家族中，具有${\bar Q}\simeq 0.7$的黑洞具有{ \it fastest}弛豫速率。在本文中，我们使用{ \it分析}技术，以调查这个有趣的非单调函数依赖的Reissner-Nordström黑洞的弛豫速率的无量纲物理参数${\bar Q}$。特别地，证明了在程函（几何光学）区域，具有${\bar Q}={\sqrt{51-3\sqrt{33}}\over{8}}\simeq 0.73$的黑洞在带电Reissner-Nordström黑洞时空族中具有{ \it fastest}弛豫速率（最小无量纲弛豫时间${\bar τ}$）.

英文摘要：

Numerous {\it numerical} investigations of the quasinormal resonant spectra of Kerr-Newman black holes have revealed the interesting fact that the characteristic relaxation times $τ({\bar a},{\bar Q})$ of these canonical black-hole spacetimes can be described by a two-dimensional function ${\bar τ}\equiv τ/M$ which increases monotonically with increasing values of the dimensionless angular-momentum parameter ${\bar a}\equiv J/M^2$ and, in addition, is characterized by a non-trivial ({\it non}-monotonic) functional dependence on the dimensionless charge parameter ${\bar Q}\equiv Q/M$. In particular, previous numerical investigations have indicated that, within the family of spherically symmetric charged Reissner-Nordström spacetimes, the black hole with ${\bar Q}\simeq 0.7$ has the {\it fastest} relaxation rate. In the present paper we use {\it analytical} techniques in order to investigate this intriguing non-monotonic functional dependence of the Reissner-Nordström black-hole relaxation rates on the dimensionless physical parameter ${\bar Q}$. In particular, it is proved that, in the eikonal (geometric-optics) regime, the black hole with ${\bar Q}={\sqrt{51-3\sqrt{33}}\over{8}}\simeq 0.73$ is characterized by the {\it fastest} relaxation rate (the smallest dimensionless relaxation time ${\bar τ}$) within the family of charged Reissner-Nordström black-hole spacetimes.

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