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  Generalized Bohr-Sommerfeld formula for Schwarzschild black hole normal modes

Andersson, N., Araujo, M. E., & Schutz, B. F. (1993). Generalized Bohr-Sommerfeld formula for Schwarzschild black hole normal modes. Classical and Quantum Gravity, 10(4), 757-765. doi:10.1088/0264-9381/10/4/010.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-73E2-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-73E5-0
Genre: Journal Article

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 Creators:
Andersson, Nils1, Author
Araujo, M. E.1, Author
Schutz, Bernard F.2, 3, Author              
Affiliations:
1External Organizations, escidoc:persistent22              
2Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24013              
3External Organizations, Department of Physics & Astronomy, University of Wales College of Cardiff, UK, escidoc:persistent22              

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 Abstract: A generalized Bohr-Sommerfeld-type formula determining the quasinormal-mode frequencies of Schwarzschild black holes is derived using the phase-integral method with three transition points. The formula is valid provided that these points are well separated from each other, and is remarkably accurate for the high-overtone modes. It makes a great improvement over the conventional Bohr-Sommerfeld formula, derived from two transition points.

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 Dates: 1993
 Publication Status: Published in print
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 10 (4) Sequence Number: - Start / End Page: 757 - 765 Identifier: ISSN: 0264-9381