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Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric
Abstract
If unstable, a rotating black hole would spontaneously radiate gravitational waves and evolve dynamically to some new (unknown) final state. This paper tests the dynamical stability of rotating holes by numerical integration of the separable perturbation equations for the Kerr metric. No instabilities are found in any of the dozen or so lowest angular modes tested, for any value of specific angular momentum 0 < a < M. Even in the limit a M, the hole appears to be stable. These stability results add credibility to the use of the Kerr metric in detailed astrophysical models. A numerical technique for preserving accuracy on an asymptotically small solution to an ordinary differential equation in the presence of an asymptotically large one is described. Subject headings: black holes - gravitation - relativity - rotation
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Citations
Cited by
Arvanitaki, A., Dimopoulos, S., Dubovsky, S., Kaloper, N., & March-Russell, J. (2010) · Physical Review D · doi:10.1103/physrevd.81.123530 · Cited by 1,941
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
Physics, Astrophysics and Cosmology with Gravitational Waves
Sathyaprakash, B. S., & Schutz, B. F. (2009) · Living Reviews in Relativity · doi:10.12942/lrr-2009-2 · Cited by 874
Klein-Gordon equation and rotating black holes
Detweiler, S. (1980) · Physical Review D · doi:10.1103/physrevd.22.2323 · Cited by 611
Instabilities of massive scalar perturbations of a rotating black hole
Zouros, T. J. M., & Eardley, D. M. (1979) · Annals of Physics · doi:10.1016/0003-4916(79)90237-9 · Cited by 355
Metadata
- Authors
- Press, W. H., & Teukolsky, S. A.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1973-10
- Volume
- 185
- Pages
- 649
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W1998021253
- Cited by
- 658
- References
- 0
- FWCI
- 11.93
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric. https://app.cochat.ai/papers/10.1086/152445
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- Press, W. H., & Teukolsky, S. A. (1973). Perturbations of a Rotating Black Hole. II. Dynamical Stability of the Kerr Metric. The Astrophysical Journal. https://doi.org/10.1086/152445
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