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Black-hole normal modes: A WKB approach. III. The Reissner-Nordström black hole

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons20673

Schutz,  Bernard F.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
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61250.pdf
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Citation

Schutz, B. F., & Kokkotas, K. D. (1987). Black-hole normal modes: A WKB approach. III. The Reissner-Nordström black hole. Physical Review D, 37(12), 3378-3387. doi:10.1103/PhysRevD.37.3378.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-7363-5
Abstract
Complex frequencies of the normal modes of the Reissner-Nordström black hole are computed by two independent methods. The first is a high-order WKB approach devised by Schutz and Will and extended by Iyer and Will for the Schwarzschild case. The second is direct numerical integration using a method developed by Chandrasekhar and Detweiler, thereby extending earlier results of Gunter. The WKB results agree with the numerical ones with an error less than 1% for the lowest-order modes. For somewhat higher orders, the numerical techniques fail but the WKB method continues to give eigenfrequencies that should be reasonably accurate.