Pseudospectrum of Reissner-Nordström black holes: Quasinormal mode instability and universality,Physical Review D

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Pseudospectrum of Reissner-Nordström black holes: Quasinormal mode instability and universality
Physical Review D ( IF 4.6 ) Pub Date : 2021-10-26 , DOI: 10.1103/physrevd.104.084091
Kyriakos Destounis _{1,

2} , Rodrigo Panosso Macedo _{2,

3} , Emanuele Berti ₄ , Vitor Cardoso ₂ , José Luis Jaramillo ₅

Affiliation

Black hole spectroscopy is a powerful tool to probe the Kerr nature of astrophysical compact objects and their environment. The observation of multiple ringdown modes in gravitational waveforms could soon lead to high-precision gravitational spectroscopy, so it is critical to understand if the quasinormal mode spectrum is stable against perturbations. It was recently shown that the pseudospectrum can shed light on the spectral stability of black hole quasinormal modes. We study the pseudospectrum of Reissner-Nordström spacetimes and we find a spectral instability of scalar and gravitoelectric quasinormal modes in subextremal and extremal black holes, extending similar findings for the Schwarzschild spacetime. The asymptotic structure of pseudospectral contour levels is the same for scalar and gravitoelectric perturbations. By making different gauge choices in the hyperboloidal slicing of the spacetime, we find that the broad features of the pseudospectra are remarkably gauge independent. The gravitational-led and electromagnetic-led quasinormal modes of extremal Reissner-Nordström black holes exhibit “strong” isospectrality: not only their spectrum coincides, but the whole pseudospectrum is the same for both classes of perturbations. We observe that a conformal duality between the extremal horizon and spacetime boundaries at infinity is responsible for such strong isospectrality property.

中文翻译：

Reissner-Nordström 黑洞的伪谱：准正态模式不稳定性和普遍性

黑洞光谱学是探测天体物理致密物体及其环境的克尔性质的有力工具。在引力波形中观察多个振铃模式很快就会产生高精度的引力光谱，因此了解准正规模式光谱是否对扰动稳定至关重要。最近表明，伪光谱可以揭示黑洞准正规模式的光谱稳定性。我们研究了 Reissner-Nordström 时空的赝谱，我们发现亚极值和极值黑洞中标量和引力电准正态模式的光谱不稳定性，扩展了 Schwarzschild 时空的类似发现。对于标量扰动和重力电扰动，伪谱等高线水平的渐近结构是相同的。通过在时空的双曲面切片中做出不同的规范选择，我们发现伪光谱的广泛特征非常独立于规范。极值 Reissner-Nordström 黑洞的引力主导和电磁主导的准正规模式表现出“强”等谱性：不仅它们的光谱重合，而且整个伪光谱对于两类扰动是相同的。我们观察到，极值视界和无穷远时空边界之间的共形对偶性是造成如此强的等谱性的原因。不仅它们的频谱重合，而且整个伪频谱对于两类扰动都是相同的。我们观察到，极值视界和无穷远时空边界之间的共形对偶性是造成如此强的等谱性的原因。不仅它们的频谱重合，而且整个伪频谱对于两类扰动都是相同的。我们观察到，极值视界和无穷远时空边界之间的共形对偶性是造成如此强的等谱性的原因。

更新日期：2021-10-26

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