The DOI matches its Crossref record.
Naked singularities in self-similar spherical gravitational collapse
Abstract
We present general-relativistic solutions of self-similar spherical collapse of an adiabatic perfect fluid. We show that if the equation of state is soft enough (\ensuremath{\Gamma}-1\ensuremath{\ll}1), a naked singularity forms. The singularity resembles the shell-focusing naked singularities that arise in dust collapse. This solution increases significantly the range of matter fields that should be ruled out in order that the cosmic-censorship hypothesis will hold.
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
No references could be resolved yet.
Research works printed but not linked: 18
- R. Penrose, 1969, Riv. Nuovo Cimento Soc. Ital. Fis., 1, 252, 10.1007/BF02752493 · DOI · Paper page
- W. Israel, 1984, Found. Phys., 14, 1049, 10.1007/BF01882488 · DOI
- D. M. Eardley, 1987, Gravitation and Astrophysics
- D. M. Eardley, 1979, Phys. Rev. D, 19, 2239, 10.1103/PhysRevD.19.2239 · DOI · Paper page
- D. M. Eardley, 1979, Gen. Relativ. Gravitation, 10, 1033, 10.1007/BF00776529 · doi:10.1007/bf00776529
- D. Christodoulou, 1984, Commun. Math. Phys., 93, 171, 10.1007/BF01223743 · DOI · Paper page
- R. P. A. C. Newman, 1986, Classical and Quantum Gravity, 3, 527, 10.1088/0264-9381/3/4/007 · DOI · Paper page
- W. A. Hiscock, 1982, Phys. Rev. D, 26, 751, 10.1103/PhysRevD.26.751 · DOI
- B. Waugh, 1986, Phys. Rev. D, 34, 2978, 10.1103/PhysRevD.34.2978 · DOI
- K. P. Stanyukovich, 1966, Sov. Phys. Dokl., 10, 1030
- M. E. Cahill, 1971, Commun. Math. Phys., 21, 1, 10.1007/BF01646482 · DOI · Paper page
- D. M. Eardley, 1974, Commun. Math. Phys., 37, 287, 10.1007/BF01645943 · DOI · Paper page
- O. I. Bogoyavlenskii, 1977, Sov. Phys. JETP, 46, 633
- G. V. Bicknell, 1978, Astrophys. J., 225, 237, 10.1086/156487 · DOI
- M. V. Penston, 1969, Mon. Not. Roy. Astron. Soc., 144, 449, 10.1093/mnras/144.4.449 · doi:10.1093/mnras/144.4.449
- R. B. Larson, 1969, Mon. Not. Roy. Astron. Soc., 145, 271, 10.1093/mnras/145.3.271 · DOI · Paper page
- C. Hunter, 1977, Astrophys. J., 218, 834, 10.1086/155739 · doi:10.1086/155739
- A. Yahil, 1983, Astrophys. J., 265, 1047, 10.1086/160746 · doi:10.1086/160746
Cited by
Global structure of Choptuik’s critical solution in scalar field collapse
Martín-García, J. M., & Gundlach, C. (2003) · Physical Review D · doi:10.1103/physrevd.68.024011 · Cited by 46
Spacetime structure of self-similar spherically symmetric perfect fluid solutions
Carr, B. J., & Gundlach, C. (2003) · Physical Review D · doi:10.1103/physrevd.67.024035 · Cited by 26
Weak cosmic censorship and the rotating quantum BTZ black hole
Frassino, A. M., Rocha, J. V., & Sanna, A. P. (2024) · Journal of High Energy Physics · doi:10.1007/jhep07(2024)226 · Cited by 12
Kinematics of discretely self-similar spherically symmetric spacetimes
Gundlach, C., & Martín-García, J. M. (2003) · Physical Review D · doi:10.1103/physrevd.68.064019 · Cited by 8
Unveiling horizons in quantum critical collapse
Tomašević, M., & Wu, C.-H. (2026) · Journal of High Energy Physics · doi:10.1007/jhep04(2026)151 · Cited by 5
Metadata
- Authors
- Ori, A., & Piran, T.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1987-11-09
- Volume
- 59
- Issue
- 19
- Pages
- 2137-2140
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2083788556
- Cited by
- 172
- References
- 0
- FWCI
- 4.66
- 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: Naked singularities in self-similar spherical gravitational collapse. https://app.cochat.ai/papers/10.1103/physrevlett.59.2137
- The paper
- Ori, A., & Piran, T. (1987). Naked singularities in self-similar spherical gravitational collapse. Physical Review Letters. https://doi.org/10.1103/physrevlett.59.2137
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.
