Existence of Zero-Damped Quasinormal Frequencies for Nearly Extremal Black Holes
Existence of Zero-Damped Quasinormal Frequencies for Nearly Extremal Black Holes
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DOI：
10.1007/s00023-022-01202-z
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发表时间：
2021-12
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影响因子：
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通讯作者：
Jason Joykutty
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文献类型：
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作者：
Jason Joykutty
人们已经观察到，许多具有近极值视界的时空表现出零阻尼模的现象。这是其特点是存在一个序列的quasinormal频率都收敛到一些纯粹的虚数在极值极限和集群在附近的线。在本文中，我们建立了这一性质是目前的共形Klein-Gordon方程的Reissner-Nordström-de Sitter背景。这是从一个类似的结果，我们证明了一类球对称黑洞时空的宇宙视界。我们还表明，零阻尼模式的现象是稳定的扰动，通过增加潜在的。
It has been observed that many spacetimes which feature a near-extremal horizon exhibit the phenomenon of zero-damped modes. This is characterised by the existence of a sequence of quasinormal frequencies which all converge to some purely imaginary numberin the extremal limit and cluster in a neighbourhood of the line. In this paper, we establish that this property is present for the conformal Klein–Gordon equation on a Reissner–Nordström–de Sitter background. This follows from a similar result that we prove for a class of spherically symmetric black hole spacetimes with a cosmological horizon. We also show that the phenomenon of zero-damped modes is stable to perturbations that arise through adding a potential.