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

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

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvd..37.3378k&link_type=abstract

Physical Review D (Particles and Fields), Volume 37, Issue 12, 15 June 1988, pp.3378-3387

Physics

61

Black Holes, Relativity And Gravitation

Scientific paper

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.

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