带有近视界反射面的Schwarzschild--AdS黑洞的准正则模
Quasinormal modes of Schwarzschild--AdS black holes with a near-horizon reflective surface
- Hangzhou Institute for Advanced Study, UCAS（杭州高等研究院，中国科学院大学）
- Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）
- University of Chinese Academy of Sciences（中国科学院大学）
- University of Science and Technology of China（中国科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究带近视界反射面的Schwarzschild-AdS黑洞标量准正则模谱，数值求解揭示腔结构与准束缚态分支，并发现谱对视界修正高度敏感。
AI中文摘要：
我们研究了在事件视界附近放置部分反射面的Schwarzschild-AdS黑洞的标量准正则模（QNM）谱。相应的QNM问题通过Chebyshev谱配置法进行数值求解。所得谱在实部足够大时呈现出特征性的腔结构，其中模式形成近似等间距的序列，其间距和阻尼主要由腔长和表面反射率控制。对于大的AdS半径，由于离心势垒与AdS势壁之间的束缚，出现了一个额外的弱阻尼准束缚态分支。我们表明，这些谱特征可以在有限径向腔的图像中得到理解。WKB分析为具有高实部的谱提供了定量的渐近描述。我们发现，近视界边界条件的变化可能导致QNM谱的显著变化，这表明Schwarzschild--AdS QNM对视界修正效应的强烈敏感性。
英文摘要：
We investigate the scalar quasinormal mode (QNM) spectrum of Schwarzschild-AdS black holes with a partially reflective surface placed near the event horizon. The corresponding QNM problem is solved numerically using Chebyshev spectral collocation. The resulting spectra exhibit a characteristic cavity structure at sufficiently large real part, where the modes form approximately equally spaced sequences whose spacing and damping are controlled mainly by the cavity length and the surface reflectivity. For large AdS radius, an additional weakly damped quasibound-state branch appears due to trapping between the centrifugal barrier and the AdS potential wall. We show that these spectral features can be understood within a finite radial cavity picture. A WKB analysis provides a quantitative asymptotic description of the spectra which have high real parts. We find that changes in the near-horizon boundary condition can lead to substantial changes in the QNM spectrum, indicating the strong sensitivity of Schwarzschild--AdS QNMs to the effect of horizon correction.
