能否听见黑洞奇点的形状？
Can one hear the shape of a black hole singularity?
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中文总结 AI 辅助
本研究通过WKB分析计算AdS黑洞大过音阶准正规频率，证明可从色散行为提取Kasner指数，揭示Kasner转变在频率中可听，并建立过音阶数与奇点固有时间的映射，经数值模型验证。
中文摘要 AI 辅助
我们计算了具有内部近奇点Kasner时期的渐近AdS黑洞的大过音阶准正规频率$\omega_n$。我们证明，在$k=0$处，从色散$\partial \omega_n/\partial k^2$的大$n$行为中可以清晰地提取Kasner指数，其中$k$是边界动量。我们证明，正如BKL近奇点混沌中所发生的Kasner转变，在准正规频率中是可听见的，并揭示了过音阶数$n$与到奇点的固有时间之间的映射。我们的结果是使用WKB分析获得的，该分析将非解析指数（由近奇点时空决定）与非普适数据（如从边界到奇点的光学距离）区分开来。我们在几个数值模型中检验了我们的公式。
英文摘要
We compute the large overtone quasinormal frequencies $ω_n$ of asymptotically AdS black holes with interior near-singularity Kasner epochs. We show that the Kasner exponents can be extracted cleanly from the large $n$ behaviour of the dispersion $\partial ω_n/\partial k^2$ at $k=0$, where $k$ is a boundary momentum. We show that Kasner transitions, as occur in BKL near-singularity chaos, are audible in the quasinormal frequencies and reveal a map between overtone number $n$ and proper time to the singularity. Our results are obtained using a WKB analysis that isolates non-analytic exponents, determined by the near-singularity spacetime, from non-universal data such as the optical distance from the boundary to the singularity. We check our formulae in several numerical models.
发表机构
- University of Cambridge（剑桥大学）
- CERN（欧洲核子研究中心）
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