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arXiv 2312.08352gr-qchep-th
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AdS中黑洞的伪谱

The pseudospectra of black holes in AdS

Brad Cownden, Christiana Pantelidou, Miguel Zilhão

AI总结:

本文通过伪谱方法研究AdS带电黑膜中拟正规模的稳定性,发现标量与引力电扰动存在谱不稳定性,流体动力学模最稳定,并揭示伪共振与瞬态不稳定性的存在。

摘要:

我们通过伪谱方法研究了渐近AdS带电黑膜时空中拟正规模(QNMs)的稳定性。在方法上,我们采用内行爱丁顿-芬克尔斯坦坐标,将QNMs转化为涉及非自伴算子的广义特征值问题;与文献中先前的结果相比,这显著简化了计算。我们的分析揭示了(中性)标量以及引力电扰动的谱不稳定性。这表明受扰动黑膜的平衡过程对外部扰动敏感。我们特别关注流体动力学模,发现它们是最不稳定的。与双曲坐标中的计算相比,我们发现伪谱等高线穿越到上半平面。这表明存在伪共振以及瞬态不稳定性的可能性。我们还研究了伪谱等高线水平的渐近结构,并在所有扇区中发现了显著的普适性,这种普适性在极端极限下仍然持续存在。

英文摘要:

We study the stability of quasinormal modes (QNMs) in electrically charged black brane spacetimes that asymptote to AdS by means of the pseudospectrum. Methodologically, we adopt ingoing Eddington-Finkelstein coordinates to cast QNMs in terms of a generalised eigenvalue problem involving a non-selfadjoint operator; this simplifies the computation significantly in comparison with previous results in the literature. Our analysis reveals spectral instability for (neutral) scalar as well as gravitoelectric perturbations. This indicates that the equilibration process of perturbed black branes is sensitive to external perturbations. Particular attention is given on the hydrodynamic modes, which are found to be the least unstable. In contrast with computations in hyperboloidal coordinates, we find that the pseudospectral contour lines cross to the upper half plane. This indicates the existence of pseudo-resonances as well as the possibility of transient instabilities. We also investigate the asymptotic structure of pseudospectral contour levels and we find remarkable universality across all sectors, persistent in the extremal limit.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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