黑洞准正则模、Regge极点与灰体因子的精确计算：来自光环阶梯对称性
Accurate Black Hole Quasinormal Modes, Regge Poles, and Greybody Factors from Light Ring Ladder Symmetry
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中文总结 AI 辅助
本文利用黑洞扰动方程中的隐藏阶梯对称性，将准正则模、Regge极点和灰体因子的计算映射为非谐振子问题，实现了Schwarzschild黑洞在逆角动量十八阶的高精度解析计算，并探索了重求和方案以提升精度，框架可扩展至旋转黑洞和修正引力。
中文摘要 AI 辅助
黑洞的特征振荡可以用束缚在其不稳定光环附近的零射线来理解，这种对应关系在高频极限下变得精确。在此机制下，我们在扰动方程中发现了一个隐藏的阶梯对称性，它将球对称黑洞的准正则模、Regge极点和灰体因子的计算映射为量子力学中的非谐振子问题。这为计算黑洞响应提供了一个系统、高效的框架，与现有近似方案相比具有更好的收敛性。作为明确应用，我们解析计算了Schwarzschild黑洞在逆角动量展开至十八阶时的这三个量，获得了高度精确的结果。我们探索了不同的重求和方案，发现它们可以进一步提高Regge极点，尤其是灰体因子的精度。我们的框架可以方便地扩展到旋转黑洞和修正引力理论。
英文摘要
The characteristic oscillations of a black hole can be understood in terms of null rays trapped near its unstable light ring, with this correspondence becoming exact in the high-frequency limit. In this regime, we uncover a hidden ladder symmetry in the perturbation equations, which maps the calculation of quasinormal modes, Regge poles, and greybody factors for a spherically symmetric black hole onto the quantum-mechanical problem of an anharmonic oscillator. This provides a systematic, efficient framework for computing the black hole response, with improved convergence properties compared with existing approximation schemes. As an explicit application, we analytically compute all three quantities for a Schwarzschild black hole through eighteenth order in inverse angular momentum, obtaining highly accurate results. We explore different resummation schemes and find that they can further improve the accuracy of the Regge poles and, particularly, the greybody factors. Our framework can be readily extended to rotating black holes and to modified theories of gravity.
发表机构
- Johns Hopkins University（约翰斯·霍普金斯大学）
- Princeton University（普林斯顿大学）
机构由 AI 辅助整理，请以论文原文为准。
