Quasinormal modes of a Schwarzschild black hole: Improved phase-integral treatment
- 15 November 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 46 (10) , 4179-4187
- https://doi.org/10.1103/physrevd.46.4179
Abstract
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.Keywords
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