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arXiv 2301.08421gr-qchep-th
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圈量子引力效应导致的准正规谱中的奇特性质

Peculiar properties in quasi-normal spectra from loop quantum gravity effect

Guoyang Fu, Dan Zhang, Peng Liu, Xiao-Mei Kuang, Jian-Pin Wu

AI总结:

研究协变圈量子引力黑洞的准正规模式谱,发现LQG效应对标量场和电磁场基模振荡影响不同,且高泛音下出现与Schwarzschild解显著偏离及量子参数引发的振荡等奇特现象。

摘要:

我们研究了协变圈量子引力黑洞(LQG-BH)上标量场和电磁场的准正规模式(QNM)谱。对于基模,与经典情形相比,LQG效应降低了标量场的振荡,然而它却诱发了电磁场更强的振荡。在标量场扰动下,系统具有比电磁场衰减更快且振荡更多的模式。在具有更高泛音的QNM谱中出现了一些奇特现象。一个显著特征是,在最初几个泛音中观察到与Schwarzschild对应物的巨大偏离,并且这种差异随着泛音数的增加而放大。更高泛音中的另一个显著现象是,当量子参数$r_0$显著增加时,$l=0$标量场的QNF表现出振荡行为。这些振荡随着泛音数的增加而增强。我们假设这种振荡模式可能与极端效应有关。

英文摘要:

We investigate the quasi-normal mode (QNM) spectra for scalar and electromagnetic fields over a covairant loop quantum gravity black hole (LQG-BH). For the fundamental modes, the LQG effect reduces the oscillations in the scalar field, however it induces stronger oscillations in the electromagnetic field, comparing to the classical case. Under the scalar field perturbation, the system enjoys faster decaying modes with more oscillations than the electromagnetic field. Some peculiar phenomena emerge in the QNM spectra with higher overtones. A notable feature is the substantial divergence observed in the first several overtones from their Schwarzschild counterparts, with this discrepancy magnifying as the overtone number increases. Another remarkable phenomenon in higher overtones is that the QNFs of the scalar field with $l=0$ exhibit an oscillatory behavior as the quantum parameter $r_0$ increases significantly. These oscillations intensify with the rising overtone number. We hypothesize that this oscillatory pattern may be associated with the extremal effect.

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