论文标题

非旋转环量子重力黑洞中准模式的异光模式的破坏

Breaking of isospectrality of quasinormal modes in nonrotating loop quantum gravity black holes

论文作者

del-Corral, Daniel, Olmedo, Javier

论文摘要

我们研究了来自环量子重力的三个有效的常规黑洞的三种有效几何形状的准频率。具体而言,我们考虑了Ashtekar-Olmedo-Singh和两个Gambini-Olmedo-Pullin处方。我们计算采用WKB方法的轴向和极性扰动的准频率。我们表明它们与经典的一般相对性不同,更重要的是,等光谱被打破了。然而,这些偏差即使对于微观黑洞,这些偏差也很小,并且遵循黑洞质量大小的逆力定律衰变。为了完整,我们还分析了标量和矢量扰动,得出相似的结论。

We study the quasinormal frequencies of three effective geometries of nonrotating regular black holes derived from loop quantum gravity. Concretely, we consider the Ashtekar-Olmedo-Singh and two Gambini-Olmedo-Pullin prescriptions. We compute the quasinormal frequencies of axial and polar perturbations adopting a WKB method. We show that they differ from those of classical general relativity and, more importantly, that isospectrality is broken. Nevertheless, these deviations are tiny, even for microscopic black holes, and they decay following an inverse power law of the size of the mass of the black holes. For the sake of completeness, we also analyze scalar and vector perturbations, reaching similar conclusions.

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