The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
Open accessAbstract
The first regular exact black hole solution in general relativity is presented. The source is a nonlinear electrodynamic field satisfying the weak energy condition, which in the limit of weak field becomes the Maxwell field. The solution corresponds to a charged black hole with $|q|\ensuremath{\le}{2s}_{c}m\ensuremath{\approx}0.6m$, having the metric, the curvature invariants, and the electric field regular everywhere.
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
The Large Scale Structure of Space-Time
Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
Open and closed universes, initial singularities, and inflation
Borde, A. (1994) · Physical Review D · doi:10.1103/physrevd.50.3692 · Cited by 175
Cited by
Regular magnetic black holes and monopoles from nonlinear electrodynamics
Bronnikov, K. A. (2001) · Physical Review D · doi:10.1103/physrevd.63.044005 · Cited by 872
First Sagittarius A* Event Horizon Telescope Results. VI. Testing the Black Hole Metric
Event Horizon Telescope Collaboration, Akiyama, K., Alberdi, A., Alef, W., Algaba, J. C., Anantua, R., Asada, K., Azulay, R., Bach, U., Baczko, A.-K., et al. (2022) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ac6756 · Cited by 668
Notes on nonsingular models of black holes
Frolov, V. P. (2016) · Physical Review D · doi:10.1103/physrevd.94.104056 · Cited by 361
Born–Infeld inspired modifications of gravity
Beltrán Jiménez, J., Heisenberg, L., Olmo, G. J., & Rubiera-Garcia, D. (2018) · Physics Reports · doi:10.1016/j.physrep.2017.11.001 · Cited by 292
Okyay, M., & Övgün, A. (2022) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2022/01/009 · Cited by 259
Metadata
- Authors
- Ayón-Beato, E., & García, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-06-08
- Volume
- 80
- Issue
- 23
- Pages
- 5056-5059
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2012572068
- Cited by
- 1,270
- References
- 2
- FWCI
- 4.64
- Type
- journal article
- Language
- en
- Open access
- green
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: Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics. https://app.cochat.ai/papers/10.1103/physrevlett.80.5056
- The paper
- Ayón-Beato, E., & García, A. (1998). Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics. Physical Review Letters. https://doi.org/10.1103/physrevlett.80.5056
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.