带电协变圈量子黑洞的准正则模

中文摘要 AI 辅助

本文关注保持微分同胚协变性的带电圈量子黑洞的准正则模。我们研究了黑洞电荷 Q 和量子参数 ζ 对中性无质量标量场、中性有质量标量场和无质量带电标量场的准正则模的影响。对于中性无质量标量场，我们的工作表明，正如其他作者所研究的相应不带电黑洞的情况一样，ζ 的开启使得泛音的实部趋于零。增大 Q 可以抑制这种趋势。对于中性有质量标量场，当 Q 和 ζ 开启时，任意长寿命的模仍然存在。我们还首次观察到基模随场质量变化的非单调行为。对于无质量带电标量场，我们的研究表明，当接近极端电荷 Q 时，带电场和电场的准正则模的渐近行为是不同的。我们还发现，对于场电荷为 e 的带电标量场，基模的实部在某个临界值 eQ 处趋于零。

英文摘要

This paper focuses on the quasinormal modes of a charged loop quantum black hole that preserves diffeomorphism covariance. We have examined the influence of the black hole charge Q and the quantum parameter ζ on the quasinormal modes of neutral massless scalar field, neutral massive scalar field and massless charged scalar field. For the neutral massless scalar field, our work shows that as in the case of the corresponding uncharged black hole that has been examined by other authors, the turn-on of ζ renders the real parts of the overtones a tendency to approach zero. Increasing Q can inhibit this tendency. For the neutral massive scalar field, when Q and ζ are turned on, arbitrarily long-lived modes still exist. We also observe a non-monotonic behavior in the fundamental mode as the field mass varies for the first time. For the massless charged scalar field, our study shows that the asymptotic behaviors of the quasinormal modes of charged field and uncharged field are different as the extremal charge Qis approached. We also find that the real part of the fundamental mode tends to zero at some critical value eQfor a charged scalar field with field charge e.

发表机构

• School of Physics and Telecommunications, Huanggang Normal University（黄冈师范学院物理与电信学院）

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