GENERALIZED BOHR-SOMMERFELD FORMULA FOR SCHWARZSCHILD BLACK-HOLE NORMAL-MODES

Authors
ANDERSSON N ARAUJO ME SCHUTZ BF
Citation
N. Andersson et al., GENERALIZED BOHR-SOMMERFELD FORMULA FOR SCHWARZSCHILD BLACK-HOLE NORMAL-MODES, Classical and quantum gravity, 10(4), 1993, pp. 757-765
Citations number
10
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
10
Issue
4
Year of publication
1993
Pages
757 - 765
Database
ISI
SICI code
0264-9381(1993)10:4<757:GBFFSB>2.0.ZU;2-U
Abstract
A generalized Bohr-Sommerfeld-type formula determining the quasinormal -mode mode frequencies of Schwarzschild black holes is derived using t he phase-integral method with three transition points. The formula is valid provided that these points are well separated from each other, a nd is remarkably accurate for the high-overtone modes. It makes a grea t improvement over the conventional Bohr-Sommerfeld formula, derived f rom two transition points.