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  High-overtone normal modes of Schwarzschild black holes

Guinn, J. W., Will, C. M., Kojima, Y., & Schutz, B. F. (1990). High-overtone normal modes of Schwarzschild black holes. Classical and quantum gravity, 7(2), L47-L53. doi:10.1088/0264-9381/7/2/006.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-74BA-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-74BD-4
Genre: Journal Article

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60279.pdf (Publisher version), 369KB
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 Creators:
Guinn, J. W.1, Author
Will, Clifford M.1, Author
Kojima, Y.1, Author
Schutz, Bernard F.2, 3, Author              
Affiliations:
1External Organizations, Dept. of Phys., Washington Univ., St Louis, MO, USA, escidoc:persistent22              
2Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24013              
3External Organizations, Department of Physics, University College, Cardiff CF1 IXL, UK, escidoc:persistent22              

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 Abstract: The frequencies of normal-mode oscillations of Schwarzschild black holes are studied using a higher-order WKB approach. The method is mathematically equivalent to locating the poles in the transmission amplitude for one-dimensional quantum mechanical tunnelling through a potential barrier. The transmission amplitude is expressed in terms of contour integrals of WKB functions around turning points of the effective barrier in the Regge-Wheeler equation. In the limit of large overtone number n, the dimensionless frequency sigma identical to omega M (M=black-hole mass) for l=2 gravitational modes is given by sigma =-i(2n+1)/8+1/2A(1+i)(2n+1)-12/+. . ., where A approximately=1.0. The compare their results with numerical computations of Leaver and find striking and unexplained differences.

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 Dates: 1990-02
 Publication Status: Published online
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 Rev. Method: Peer
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 7 (2) Sequence Number: - Start / End Page: L47 - L53 Identifier: ISSN: 0264-9381