English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

High-overtone normal modes of Schwarzschild black holes

MPS-Authors
/persons/resource/persons20673

Schutz,  Bernard F.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
External Organizations;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

60279.pdf
(Publisher version), 369KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-74BA-A
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.