Quasinormal modes of a Schwarzschild black hole: Improved phase-integral treatment

Details Quasinormal modes of a Schwarzschild black hole: Improved phase-integral treatment Quasinormal modes of a Schwarzschild black hole: Improved phase-integral treatment

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46.4179a&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 10, 15 November 1992, pp.4179-4187

Physics

38

Black Holes

Scientific paper

The quasinormal-mode frequencies of a Schwarzschild black hole are calculated within an accurate phase-integral analysis. Two different phase-integral formulas are derived by means of uniform approximations using parabolic Weber functions and Coulomb wave functions, respectively. These formulas are valid when clusters of possibly close-lying transition points in the complex coordinate plane must be considered. By comparison with results of exact phase-amplitude calculations the phase-integral results are proved to be of high accuracy. Conclusively, the improved phase-integral method so far provides the most efficient way to determine approximate values for the characteristic frequencies of the lowest-lying, as well as highly damped, quasinormal modes of a Schwarzschild black hole.

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