The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Quasinormal modes of Reissner-Nordström black holes
Abstract
We present a matrix-eigenvalue algorithm for accurately computing the quasinormal frequencies and modes of charged static black holes. The method is then refined through the introduction of a continued-fraction step. We believe the approach will generalize to a variety of nonseparable wave equations, including the Kerr-Newman case of charged rotating black holes.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Handbook of Mathematical Functions
McQuarrie, D. A. (1966) · American Journal of Physics · doi:10.1119/1.1972842 · Cited by 40,433
Numerical Recipes: The Art of Scientific Computing
Ziegel, E. (1987) · Technometrics · doi:10.1080/00401706.1987.10488304 · Cited by 6,702
The Mathematical Theory of Black Holes
Chandrasekhar, S. (1984) · General Relativity and Gravitation · doi:10.1007/978-94-009-6469-3_2 · Cited by 3,165
Stability of a Schwarzschild Singularity
Regge, T., & Wheeler, J. A. (1957) · Physical Review · doi:10.1103/physrev.108.1063 · Cited by 2,725
Dongarra, J. J., Moler, C. B., Bunch, J. R., & Stewart, G. W. (1979) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971811 · Cited by 1,738
An analytic representation for the quasi-normal modes of Kerr black holes
Leaver, E. W. (1985) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1985.0119 · Cited by 1,308
Self-citationAnalytic Theory of Continued Fractions
(1982) · Lecture Notes in Mathematics · doi:10.1007/bfb0093301 · Cited by 1,165
Iyer, S., & Will, C. M. (1987) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.35.3621 · Cited by 1,045
Rotating Black Holes: Separable Wave Equations for Gravitational and Electromagnetic Perturbations
Teukolsky, S. A. (1972) · Physical Review Letters · doi:10.1103/physrevlett.29.1114 · Cited by 1,045
Price, R. H. (1972) · Physical Review D · doi:10.1103/physrevd.5.2419 · Cited by 1,008
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
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
Hartnoll, S. A., Lucas, A., & Sachdev, S. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1612.07324 · Cited by 258
Quasinormal modes of Reissner-Nordström Anti-de Sitter black holes
Wang, B., Lin, C.-Y., & Abdalla, E. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00409-3 · Cited by 177
Metadata
- Authors
- Leaver, E. W.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1990-05-15
- Volume
- 41
- Issue
- 10
- Pages
- 2986-2997
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2004519466
- Cited by
- 253
- References
- 35
- FWCI
- 2.38
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Quasinormal modes of Reissner-Nordström black holes. https://app.cochat.ai/papers/10.1103/physrevd.41.2986
- The paper
- Leaver, E. W. (1990). Quasinormal modes of Reissner-Nordström black holes. Physical Review D. https://doi.org/10.1103/physrevd.41.2986
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
