---
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标题: "Quasinormal modes in effective loop quantum gravity and consequences for isospectrality"
原文链接: "https://arxiv.org/abs/2608.11088"
发布日期: "2026-08-11"
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---

## General Relativity and Quantum Cosmology

## Title:Quasinormal modes in effective loop quantum gravity and consequences for isospectrality

[View PDF](https://arxiv.org/pdf/2608.11088) [HTML (experimental)](https://arxiv.org/html/2608.11088v1)

> Abstract:We investigate the quasinormal mode spectra of axial and polar perturbations about the effective Ashtekar, Olmedo, and Singh black hole geometry within the hybrid approach to loop quantum gravity. We also compare our results with those previously obtained by del-Corral and Olmedo for the dressed metric approach. Starting from mode equations that are straightforward effective counterparts of the classical equations, we compute these spectra by means of a high-order WKB method with Padé resummation. The violation of isospectrality between axial and polar perturbations that was claimed to exist in the dressed metric approach persists with the hybrid quantization, with deviations of the same order of magnitude as in the former effective case, although slightly larger for the hybrid prescription. In both situations, the isospectrality breaking decreases with the cubic root of the squared black hole mass in Planck units, consistently recovering the classical Schwarzschild limit. In addition, we perform a careful assessment of the applicability of the WKB approximation to the present effective analysis, confirming the parameter regions where the method remains reliable and highlighting specific mode cases for which the approximation breaks down.

| Subjects: | General Relativity and Quantum Cosmology (gr-qc) |
| --- | --- |
| Cite as: | [arXiv:2608.11088](https://arxiv.org/abs/2608.11088) \[gr-qc\] |
|  | (or [arXiv:2608.11088v1](https://arxiv.org/abs/2608.11088v1) \[gr-qc\] for this version) |
|  | [https://doi.org/10.48550/arXiv.2608.11088](https://doi.org/10.48550/arXiv.2608.11088) |

## Submission history

From: Alvaro Torres-Caballeros \[[view email](https://arxiv.org/show-email/153707e8/2608.11088)\]  
**\[v1\]** Tue, 11 Aug 2026 15:57:07 UTC (4,297 KB)

[Which authors of this paper are endorsers?](https://arxiv.org/auth/show-endorsers/2608.11088) | Disable MathJax ([What is MathJax?](https://info.arxiv.org/help/mathjax.html))
