The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Mode stability of the Kerr black hole
Abstract
Separate differential and integral transformations are introduced for the individual radial and angular equations governing the (infinitesimally) gauge invariant Newman–Penrose quantities which represent massless perturbations of the Kerr black hole. Using these new transformations it is shown, without need for numerical investigation or reference to the analytic behavior of the separation constant, that no unstable mode perturbations exist for any physical value of the spin of massless fields on the rotating black hole background.
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Citations
Cites
An Approach to Gravitational Radiation by a Method of Spin Coefficients
Newman, E., & Penrose, R. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1724257 · Cited by 2,702
Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations
Carter, B. (1968) · Communications in Mathematical Physics · doi:10.1007/bf03399503 · Cited by 1,111
Cited by
Quasi-Normal Modes of Stars and Black Holes
Kokkotas, K. D., & Schmidt, B. G. (1999) · Living Reviews in Relativity · doi:10.12942/lrr-1999-2 · Cited by 2,055
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
Kay, B. S., & Wald, R. M. (1991) · Physics Reports · doi:10.1016/0370-1573(91)90015-e · Cited by 574
Linear waves on constant radius limits of cosmological black hole spacetimes
Gajic, D. (2018) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2018.v22.n4.a2 · Cited by 3
Metadata
- Authors
- Whiting, B. F.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1989-06-01
- Volume
- 30
- Issue
- 6
- Pages
- 1301-1305
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2090671158
- Cited by
- 291
- References
- 2
- FWCI
- 2.33
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.