论文标题

依赖比例依赖的Schwarzschild-de保姆黑洞的准光谱

Quasinormal spectra of scale-dependent Schwarzschild-de Sitter black holes

论文作者

Panotopoulos, Grigoris, Rincon, Angel

论文摘要

我们计算了Schwarzschild-de保姆几何形状的标量,狄拉克和电磁扰动的准光谱,这是标尺依赖性重力的框架,这是量子重力的当前方法之一。采用广泛使用的WKB半古典近似值,我们研究了对角度的频谱,泛音数以及固定黑洞质量和宇宙学常数的比例依赖参数的影响。我们在表中总结了我们的数值结果,为了更好地可视化,我们也以图形方式显示它们。所有模式都稳定。我们的发现表明,频率假想部分的实际部分和绝对值随着参数$ε$的增加而增加,该参数$ε$衡量了与经典几何的偏差。因此,在与规模依赖性重力的框架中,模式与经典对应物相比,模式振荡和衰减更快。

We compute the quasinormal spectra for scalar, Dirac and electromagnetic perturbations of the Schwarzschild-de Sitter geometry in the framework of scale-dependent gravity, which is one of the current approaches to quantum gravity. Adopting the widely used WKB semi-classical approximation, we investigate the impact on the spectrum of the angular degree, the overtone number as well as the scale-dependent parameter for fixed black hole mass and cosmological constant. We summarize our numerical results in tables, and for better visualization, we show them graphically as well. All modes are found to be stable. Our findings show that both the real part and the absolute value of the imaginary part of the frequencies increase with the parameter $ε$ that measures the deviation from the classical geometry. Therefore, in the framework of scale-dependent gravity the modes oscillate and decay faster in comparison with their classical counterparts.

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