Black-hole normal modes: Phase-integral treatment

Physics

Scientific paper

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Black Holes, Fundamental Problems And General Formalism, Exact Solutions

Scientific paper

A simple two-turning-point phase-integral formula, valid in an arbitrary order of approximation, for the determination of the normal-mode frequencies of a Schwarzschild black hole is derived rigorously. Numerical results obtained from this formula show that the phase-integral method in general yields the normal-mode frequencies more accurately than previous approximate analytical treatments.

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