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Black-hole normal modes: Phase-integral treatment

1992; American Physical Society; Volume: 45; Issue: 8 Linguagem: Inglês

10.1103/physrevd.45.2609

1538-4500

Nanny Fröman, Per Olof Fröman, Nils Andersson, Anders Hökback,

Astrophysical Phenomena and Observations

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.