论文标题
扰动黑洞度量的矩阵方法与不连续性
Matrix method for perturbed black hole metric with discontinuity
论文作者
论文摘要
基于黑洞伪谱的概念的最新研究表明，基本和高过度的准模式的不稳定。除了其理论新颖性外，由于特定的扰动而导致的准模式频谱迁移的细节可能在更现实的背景下提供有关相关重力波的性质的有价值信息。这项工作概括了黑洞准模式的矩阵方法，以应对与不连续性所具有的指标的特定类扰动，该指标已知与准标准结构不稳定性密切相关。实际上，不连续性的存在构成了困难，因此无法直接应用许多众所周知的准模式方法。通过与其他方法进行比较，我们表明修饰的矩阵方法是有效的，可用于以合理的精确度为低洼模式求解。因此，它可能是相关研究的替代小工具。
Recent studies based on the notion of black hole pseudospectrum indicated substantial instability of the fundamental and high-overtone quasinormal modes. Besides its theoretical novelty, the details about the migration of the quasinormal mode spectrum due to specific perturbations may furnish valuable information on the properties of associated gravitational waves in a more realistic context. This work generalizes the matrix method for black hole quasinormal modes to cope with a specific class of perturbations to the metric featured by discontinuity, which is known to be intimately connected with the quasinormal mode structural instability. In practice, the presence of discontinuity poses a difficulty so that many well-known approaches for quasinormal modes cannot be straightforwardly applied. By comparing with other methods, we show that the modified matrix method is efficient, which can be used to solve for the low-lying modes with reasonable precision. Therefore, it might serve as an alternative gadget for relevant studies.
