The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
The Instability of Naked Singularities in the Gravitational Collapse of a Scalar Field
Open accessAbstract
One of the fundamental unanswered questions in the general theory of relativity is whether ``naked'' singularities, that is singular events which are visible from infinity, may form with positive probability in the process of gravitational collapse. The conjecture that the answer to this question is in the negative has been called ``cosmic censorship.'' The present paper, which is a continuation previous work, addresses this question in the context of the spherical gravitational collapse of a scalar field.
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
Examples of Naked Singularity Formation in the Gravitational Collapse of a Scalar Field
Christodoulou, D. (1994) · The Annals of Mathematics · doi:10.2307/2118619 · Cited by 304
Self-citationGeroch, R., Kronheimer, E. H., & Penrose, R. (1972) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1972.0062 · Cited by 248
The formation of black holes and singularities in spherically symmetric gravitational collapse
Christodoulou, D. (1991) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160440305 · Cited by 241
Self-citationA mathematical theory of gravitational collapse
Christodoulou, D. (1987) · Communications in Mathematical Physics · doi:10.1007/bf01208960 · Cited by 240
Self-citationBounded variation solutions of the spherically symmetric einstein‐scalar field equations
Christodoulou, D. (1993) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160460803 · Cited by 188
Self-citation
Cited by
Choquet-Bruhat, Y. (2008) · General Relativity and the Einstein Equations · doi:10.1093/acprof:oso/9780199230723.003.0010 · Cited by 295
The Formation of Black Holes in General Relativity
Christodoulou, D. (2009) · EMS Monographs in Mathematics · doi:10.4171/068 · Cited by 293
Self-citationThe 1965 Penrose singularity theorem
Senovilla, J. M. M., & Garfinkle, D. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/12/124008 · Cited by 248
Cauchy horizon stability in self-similar collapse: Scalar radiation
Nolan, B. C., & Waters, T. J. (2002) · Physical Review D · doi:10.1103/physrevd.66.104012 · Cited by 19
An extreme critical spacetime: echoing and black-hole perturbations
Hayward, S. A. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/19/304 · Cited by 14
Metadata
- Authors
- Christodoulou, D.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1999-01
- Volume
- 149
- Issue
- 1
- Pages
- 183
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2169377271
- Cited by
- 329
- References
- 5
- FWCI
- 7.17
- 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: The Instability of Naked Singularities in the Gravitational Collapse of a Scalar Field. https://app.cochat.ai/papers/10.2307/121023
- The paper
- Christodoulou, D. (1999). The Instability of Naked Singularities in the Gravitational Collapse of a Scalar Field. The Annals of Mathematics. https://doi.org/10.2307/121023
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.