Normal-mode frequencies of Reissner-Nordstrom black holes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Reissner-Nordstrom Solution, Schwarzschild Metric, Time Dependence, Wentzel-Kramer-Brillouin Method

Scientific paper

The normal-mode frequencies of a Reissner-Nordstrom black hole are determined from a phase-amplitude formula, using numerical integration in the complex coordinate plane. The results obtained are numerically very accurate, extending previous higher-order WKB results of Kokkotas and Schutz as well as the continued fraction results of Leaver. The change in the characteristic frequency of each mode as the charge of the black hole increases is also discussed.

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