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arXiv 0705.1179gr-qcastro-phhep-th
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旋转黑洞准正规模的解析研究

Analytic Study of Rotating Black-Hole Quasinormal Modes

Uri Keshet, Shahar Hod

摘要:

本文导出了旋转黑洞高阻尼准正规模频率ω(n>>1)的Bohr-Sommerfeld方程。它可以写成2 \int_C(p_r+ip_0)dr=(n+1/2)h,其中p_r是沿能量为hbar*omega和角动量为hbar*m的零测地线与径向坐标r共轭的正则动量,p_0=O(ω ^0),等高线C连接p_r的两个复转折点。解是Ω(n)= - m*omega_0 - i(phi + n*delta),其中{omega_0,delta}>0是黑洞参数单独的函数。一些物理影响进行了讨论。

英文摘要:

A Bohr-Sommerfeld equation is derived for the highly-damped quasinormal mode frequencies omega(n>>1) of rotating black holes. It may be written as 2\int_C(p_r+ip_0)dr=(n+1/2)h, where p_r is the canonical momentum conjugate to the radial coordinate r along null geodesics of energy hbar*omega and angular momentum hbar*m, p_0=O(omega^0), and the contour C connects two complex turning points of p_r. The solutions are omega(n) = - m*omega_0 - i(phi + n*delta), where {omega_0,delta}>0 are functions of the black-hole parameters alone. Some physical implications are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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