WKB近似
物理
施瓦西半径
泛音
Schwarzschild度量
准正规模
黑洞(网络)
量子力学
量子电动力学
经典力学
万有引力
广义相对论
谱线
布线(电子设计自动化)
链路状态路由协议
路由协议
计算机科学
计算机网络
出处
期刊:Physical review
日期:1987-06-15
卷期号:35 (12): 3632-3636
被引量:238
标识
DOI:10.1103/physrevd.35.3632
摘要
We employ a semianalytic technique, based on a modified WKB approach, to determine the complex normal-mode frequencies of Schwarzschild black holes. It yields a simple analytic formula that gives the real and imaginary parts of the frequency in terms of the parameters of the black hole and of the field whose perturbation is under study, and in terms of the quantity (n+(1/2)), where n=0,\ifmmode\pm\else\textpm\fi{}1,\ifmmode\pm\else\textpm\fi{}2,..., and labels the fundamental mode, first overtone mode, and so on. In the case of the fundamental gravitational normal modes of the Schwarzschild black hole, the WKB estimates agree with numerical results to better than 0.13% in the real part of the frequency and 0.22% in the imaginary part. The agreement for both the real and imaginary parts of the low overtones is better than 0.5%. The relative agreement improves with increasing angular harmonic.
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