标题： 旋转类比黑洞的伪谱 显示英文标题

标题： Pseudospectrum of rotating analog black holes

摘要： 分析准正规模（QNM）的稳定性对于理解黑洞动力学至关重要，特别是在引力波发射和黑洞光谱学背景下。 在这项研究中，我们采用双曲型方法重新表述了旋转类比黑洞的准正规模问题，有效地将其转化为与非自伴算子相关的特征值问题。 使用这种方法，我们通过相关的伪谱来检查旋转对QNM频谱稳定性的影响，以定性评估为基础。 我们的研究结果显示，随着旋转的增加，前向过调变得更为稳定。 这项工作增强了我们对旋转系统中频谱稳定性的理解，并扩展了非球对称时空伪谱的研究，具有在地面实验室进行实证测试的潜力。 显示英文摘要

摘要： Analyzing the stability of quasinormal modes (QNM) is essential for understanding black hole dynamics, particularly in the context of gravitational wave emissions and black hole spectroscopy. In this study, we employ the hyperboloidal approach to reformulate the quasinormal mode problem of a rotating analog black hole, effectively transforming it into an eigenvalue problem associated with a nonself-adjoint operator. Using this method, we examine the influence of rotation on the stability of the QNM spectrum, relying on the associated pseudospectrum for qualitative assessment. Our findings indicate that the prograde overtones become more stable as rotation increases. This work enhances our understanding of spectrum stability in rotating systems and expands the study of pseudospectra in non-spherically symmetric spacetimes, with potential for empirical testing in terrestrial laboratories.