The DOI matches its Crossref record.
On the proof of the positive mass conjecture in general relativity
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“In the absence of further ingredients that modify the spin connection, the energy condition that needs to be violated is known as the Dominant Energy Condition, as already implied by the Positive Energy Theorem [25,26].”
From Nothing is certain in string compactifications (2020) · cites this paper as [25]
In the citing paper
“the positive energy theorem [43][44][45], which ensures the full stability of R 1,4 does not apply to R 1,3 × S 1 .”
From Nothing really matters (2020) · cites this paper as [43]
In the citing paper
“In fact, such solutions have been constructed [13] by analytically continuing the Myers-Perry solutions [14] and in five or more dimensions these bubbles also expand forever.”
From Bubbles unbound: bubbles of nothing without Kaluza-Klein (2007) · cites this paper as [13]
Citations
Cites
No references could be resolved yet.
Research works printed but not linked: 20
- Arnowitt, R., Deser, S., Misner, C.: Phys. Rev.118, 1100 (1960b) · DOI
- Geroch, R.: General Relativity. Proc. Symp. Pure Math.27, 401–414 (1975) · DOI
- Brill, D., Deser, S.: Ann. Phys.50, 548 (1968) · DOI
- Choquet-Bruhat, Y., Fischer, A., Marsden, J.: Maximal hypersurfaces and positivity of mass. Preprint (1978)
- Choquet-Bruhat, Y., Marsden, J.: Solution of the local mass problem in general relativity. Commun. math. Phys.51, 283–296 (1976) · DOI
- Jang, P. S.: J. Math. Phys.1, 141 (1976) · DOI
- Leibovitz, C., Israel, W.: Phys. Rev.1 D, 3226 (1970)
- Misner, C.: Astrophysics and general relativity, Chretien, M., Deser, S., Goldstein, J. (ed.). New York: Gordon and Breach 1971
- Geroch, R.: J. Math. Phys.13, 956 (1972) · DOI
- Finn, R.: On a class of conformal metrics, with application to differential geometry in the large. Comment. Math. Helv.40, 1–30 (1965) · DOI
- Huber, A.: Vollständige konforme Metriken und isolierte Singularitäten subharmonischer Funktionen. Comment. Math. Helv.41, 105–136 (1966) · DOI
- Huber, A.: On subharmonic functions and differential geometry in the large. Comment. Math. Helv.32, 13–72 (1957) · DOI
- Huber, A.: On the isoperimetric inequality on surfaces of variable Gaussian curvature. Ann. Math.60, 237–247 (1954) · DOI
- Alexander, H., Osserman, R.: Area bounds for various classes of surfaces. Am. J. Math.97 (1975) · DOI
- Federer, H.: Geometric measure theory. Berlin, Heidelberg, New York: Springer 1969
- Morrey, C. B.: Multiple integrals in the calculus of variations. Berlin, Heidelberg, New York: Springer 1966 · DOI
- Hörmander, L.: Linear partial differential operators. Berlin, Heidelberg, New York: Springer 1969 · DOI
- O'Murchadha, N., York, J. W.: Gravitational Energy. Phys. Rev. D10, 2345–2357 (1974) · DOI
- Kazdan, J., Warner, F.: Prescribing curvatures. Proc. Symp. Pure Math.27, 309–319 (1975) · DOI
- Schoen, R., Simon, L., Yau, S.-T.: Curvature estimates on minimal hypersurfaces. Acta Math.134, 275–288 (1975) · DOI
Cited by
Stability of gravity with a cosmological constant
Abbott, L. F., & Deser, S. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90049-9 · Cited by 1,075
Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061
Instability of the Kaluza-Klein vacuum
Witten, E. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90007-4 · Cited by 595
The 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
General relativistic energy conditions: The Hubble expansion in the epoch of galaxy formation
Visser, M. (1997) · Physical Review D · doi:10.1103/physrevd.56.7578 · Cited by 184
Metadata
- Authors
- Schoen, R., & Yau, S.-T.
- Venue
- Communications in Mathematical Physics
- Published
- 1979-02
- Volume
- 65
- Issue
- 1
- Pages
- 45-76
- ISSN
- 0010-3616
- 1432-0916
- Cited by
- 870
- References
- 0
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On the proof of the positive mass conjecture in general relativity. https://app.cochat.ai/papers/10.1007/bf01940959
- The paper
- Schoen, R., & Yau, S.-T. (1979). On the proof of the positive mass conjecture in general relativity. Communications in Mathematical Physics. https://doi.org/10.1007/bf01940959
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.
