笼中弦黑洞的共振谱及其光谱学
Resonance Spectra of Caged Stringy Black Hole and Its Spectroscopy
摘要:
利用Maggiore方法(MM)计算了高阻尼准正规模(QNM)频率的绝热不变量中的跃迁频率,研究了Garfinkle-Horowitz-Strominger黑洞(GHSBH)的熵谱和面积谱.代替普通的QNM,我们计算了GHSBH几何中受限标量场的特征共振谱,即盒装QNM(BQNM)。为此,我们假设GHSBH在事件视界附近有一个约束腔(镜)。然后,我们将展示如何计算复杂的谐振频率的笼GHSBH使用贝塞尔微分方程时产生的标量扰动周围的事件视界被认为是。虽然熵/面积的特征在于GHSBH参数,其量化示出为独立于这些参数。然而,两个光谱是等间隔的。
英文摘要:
The Maggiore's method (MM), which evaluates the transition frequency that appears in the adiabatic invariant from the highly damped quasinormal mode (QNM) frequencies, is used to investigate the entropy/area spectra of the Garfinkle--Horowitz--Strominger black hole (GHSBH). Instead of the ordinary QNMs, we compute the boxed QNMs (BQNMs) that are the characteristic resonance spectra of the confined scalar fields in the GHSBH geometry. For this purpose, we assume that the GHSBH has a confining cavity (mirror) placed in the vicinity of the event horizon. We then show how the complex resonant frequencies of the caged GHSBH are computed using the Bessel differential equation that arises when the scalar perturbations around the event horizon are considered. Although the entropy/area is characterized by the GHSBH parameters, their quantization is shown to be independent of those parameters. However, both spectra are equally spaced.
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