静态圈量子黑洞反弹的回声与准正则模
Echoes and quasinormal modes for static loop quantum black bounces
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中文总结 AI 辅助
研究多极指数\(l = 1\)的静态圈量子黑洞反弹时空的标量微扰，利用有限差分法等，发现单势垒RBH无回声，势阱结构虫洞有回声，QNFs两种方法吻合良好，结果表明该时空为研究波动动力学及相关影响提供了有用框架。
中文摘要 AI 辅助
我们研究了多极指数\(l = 1\)的静态圈量子黑洞反弹（LQBB）时空的标量微扰，重点关注时域信号和基本准正则频率（QNFs）。LQBB模型由量子参数\(\alpha\)和反弹参数\(r_b\)控制，能统一描述规则黑洞（RBHs）和可穿越虫洞。利用有限差分法，发现单势垒有效势的RBH配置无回声，而特定可穿越虫洞配置的势阱结构产生清晰回声。通过两种方法得到的QNFs吻合良好。在RBH情形下，增大\(r_b\)或\(\alpha\)导致衰减变慢；在虫洞情形下，QNFs非单调依赖模型参数，回声出现与有效势轮廓紧密相关。这些结果表明，LQBB时空为研究RBHs和可穿越虫洞的波动动力学以及阐明视界和喉部结构如何影响衰减和回声提供了有用框架。
英文摘要
We investigate scalar perturbations of the static loop quantum black bounce (LQBB) spacetime with multipole index $l=1$, focusing on time-domain signals and fundamental quasinormal frequencies (QNFs). The LQBB model provides a unified description of regular black holes (RBHs) and traversable wormholes, governed by the quantum parameter $α$ and the bounce parameter $r_b$. Using the finite difference method, we find no echoes for the displayed RBH configurations with a single-barrier effective potential, whereas clear echoes are produced by the potential well structure in selected traversable wormhole configurations. The QNFs obtained from the Prony method and the direct integration method are in good agreement. In the RBH case, increasing $r_b$ or $α$ leads to a slower decay. In the wormhole case, the QNFs depend non-monotonically on the model parameters, and the emergence of echoes is closely tied to the effective potential profile. These results show that the LQBB spacetime provides a useful framework for studying wave dynamics in RBHs and traversable wormholes, and for clarifying how horizon and throat structures affect ringdown and echoes.
