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The quasi-normal modes of the Schwarzschild black hole
Abstract
The quasi-normal modes of a black hole represent solutions of the relevant perturbation equations which satisfy the boundary conditions appropriate for purely outgoing (gravitational) waves at infinity and purely ingoing waves at the horizon. For the Schwarzschild black hole the problem reduces to one of finding such solutions for a one-dimensional wave equation (Zerilli’s equation) for a potential which is positive everywhere and is of short-range. The notion of quasi-normal modes of such one-dimensional potential barriers is examined with two illustrative examples; and numerical solutions for Zerilli’s potential are obtained by integrating the associated Riccati equation.
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Cited by
Quasinormal modes of black holes and black branes
Berti, E., Cardoso, V., & Starinets, A. O. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/16/163001 · Cited by 2,095
Quasinormal modes of black holes: From astrophysics to string theory
Konoplya, R. A., & Zhidenko, A. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.793 · Cited by 1,532
Scalar, electromagnetic, and Weyl perturbations of BTZ black holes: Quasinormal modes
Cardoso, V., & Lemos, J. P. S. (2001) · Physical Review D · doi:10.1103/physrevd.63.124015 · Cited by 372
Quasinormal modes of D3-brane black holes
Kurita, Y., & Sakagami, M.-A. (2003) · Physical Review D · doi:10.1103/physrevd.67.024003 · Cited by 29
Silva, H. O., Tambalo, G., Glampedakis, K., & Yagi, K. (2026) · Physical Review D · doi:10.1103/lgfg-lvjn · Cited by 3
Metadata
- Authors
- Chandrasekhar, S., & Detweiler, S.
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1975-08-12
- Volume
- 344
- Issue
- 1639
- Pages
- 441-452
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2050092976
- Cited by
- 717
- References
- 0
- FWCI
- 1.37
- Type
- journal article
- Language
- en
- Open access
- closed
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