小凸起下总透射模的（不）稳定性
The (in)stability on total transmission modes with small bumps
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中文总结 AI 辅助
本研究通过引入局域Pöschl-Teller凸起扰动，发现Tangherlini黑洞的总透射模谱稳定性因模类型而异，纯虚模稳定而复数模对微小扰动敏感。
中文摘要 AI 辅助
总透射模（TTM）是一类黑洞微扰方程的无反射解，与拟正规模（QNM）密切相关，并且可能对微弱的周围环境扰动表现出显著的敏感性。在本工作中，我们通过在有效势中引入局域的Pöschl-Teller凸起扰动，研究了Tangherlini黑洞总透射模的谱（不）稳定性，并采用改进的切比雪夫-洛巴托网格来提高局域扰动的数值精度。对于$d=14$、$\nell=2$和$s=2$，纯虚总透射模表现出相对较强的谱稳定性，而真正的复数总透射模即使在小扰动下也会发生显著迁移，这与先前伪谱分析所揭示的谱稳定性一致。
英文摘要
Total transmission modes (TTMs) are a class of reflectionless solutions to black hole perturbation equations, closely related to quasinormal modes (QNMs), and can exhibit significant sensitivity to weak environmental perturbations. In this work, we investigate the spectrum (in)stability of TTMs of Tangherlini black holes by introducing a localized Pöschl-Teller bump perturbation into the effective potential, and employ a modified Chebyshev-Lobatto grid to improve the numerical accuracy of the localized perturbation. For $d=14$, $\ell=2$, and $s=2$, the purely imaginary TTM exhibits relatively strong spectrum stability, whereas the genuine complex TTMs undergo significant migrations even for small perturbations, consistent with the spectrum stability revealed by previous pseudospectrum analyses.
发表机构
- Hangzhou Institute for Advanced Study, UCAS（杭州高等研究院）
- 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）
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