论文标题
Schwarzschild-anti-de保姆的电磁准模式黑洞：大型黑洞极限中的分叉，光谱相似性和精确溶液
Electromagnetic quasinormal modes of Schwarzschild-anti-de Sitter black holes: Bifurcations, spectral similarity, and exact solutions in the large black hole limit
论文作者
论文摘要
我们重新审视了渐近反DE保姆Schwarzschild黑洞的特殊电磁准模式光谱。最近的数值计算表明，某些准模式频率在某些临界黑洞尺寸上纯粹受阻尼，在某些临界黑洞尺寸上，光谱也分叉。在本文中，我们通过利用大型黑洞极限的一些新颖的分析结果来阐明该频谱的未被发现和无法解释的特性。我们在数值和分析上都证明了大型黑洞的准模式光谱大约是同一光谱，并将这种新的对称特性称为光谱相似性。我们利用这种光谱相似性来得出分叉位置的精确分析表达，其中出现了令人惊讶的Feigenbaum样常数。我们为其光谱和本征函数提供了精确的解决方案，发现不能使大型黑洞用电磁扰动振动，而与空间无穷大的边界条件无关。最后，我们通过分析大黑洞极限周围的准模式光谱的膨胀来表征光谱对不同边界条件的不敏感性。
We revisit the peculiar electromagnetic quasinormal mode spectrum of an asymptotically anti-de Sitter Schwarzschild black hole. Recent numerical calculations have shown that some quasinormal mode frequencies become purely overdamped at some critical black hole sizes, where the spectrum also bifurcates. In this paper, we shed light on unnoticed and unexplained properties of this spectrum by exploiting some novel analytic results for the large black hole limit. We demonstrate, both numerically and analytically, that the quasinormal mode spectra of large black holes become approximately isospectral, and refer to this new symmetry property as spectral similarity. We take advantage of this spectral similarity to derive a precise analytic expression for the locations of the bifurcations, in which a surprising Feigenbaum-like constant appears. We derive an exact solution for its spectrum and eigenfunctions, and find that large black holes cannot be made to vibrate with electromagnetic perturbations, independently of the boundary conditions imposed at spatial infinity. Finally, we characterize the insensitivity of the spectrum to different boundary conditions by analyzing the expansion of the quasinormal mode spectrum around the large black hole limit.
