The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Positive mass theorems for black holes
Overview
Integrity signals
Registry
Cites
Statistics
Verification
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 general relativity any spacetime with mass M and electric charge Q has a mass M ≥ |Q|.”
From Nothing is certain in string compactifications (2020) · cites this paper as [53]
In the citing paper
“The Positive Energy Theorem associated to the Spin c structure also guarantees stability of charge black hole solutions in the classical gravity theory [53], and hence it has a natural relation to the Weak Gravity Conjecture”
From Nothing is certain in string compactifications (2020) · cites this paper as [53]
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
Self-citationGravitational Collapse and Space-Time Singularities
Penrose, R. (1965) · Physical Review Letters · doi:10.1103/physrevlett.14.57 · Cited by 2,977
Research works printed but not linked: 16
- Hawking, S.W.: The event horizon in: Black holes, pp. 1?55. deWitt, B.S., deWitt, C.M. (eds.) New York: Gordon and Breach 1973
- Schoen, R., Yau, S.-T.: On the proof of the positive mass conjecture in general relativity. Commun. Math. Phys.65, 45?76 (1979) · DOI · Paper page
- Schoen, R., Yau, S.-T.: Proof of the positive mass theorem. II. Commun. Math. Phys.79, 231?260 (1981) · DOI · Paper page
- Witten, E.: A new proof of the positive energy theorem. Commun. Math. Phys.80, 381?402 (1981) · DOI · Paper page
- Carter, B.: The general theory of black hole properties. (eds.). In: General relativity, pp. 294?369. Hawking, S.W., Israel, W., Cambridge: Cambridge University Press 1979
- Hawking, S.W.: The conservation of matter in general relativity. Commun. Math. Phys.18, 301?306 (1970) · DOI
- Gibbons, G.W., Hull, C.M.: A Bogomolny bound for general relativity and solutions inN=2 supergravity. Phys. Lett.109 B, 190?194 (1982) · DOI
- Horowitz, G.T., Perry, M.J.: Gravitational energy cannot become negative. Phys. Rev. Lett.48, 371?374 (1982) · DOI
- Abbott, G., Deser, S.: Stability of gravity with a cosmological constant. Nucl. Phys. B195, 76?96 (1982) · DOI · Paper page
- Ashtekar, A., Horowitz, G.T.: Energy-momentum of isolated systems cannot be null. Phys. Lett.89 A, 181?183 (1982) · DOI
- Parker, T., Taubes, C.H.: On Witten's proof of the positive energy theorem. Commun. Math. Phys.84, 223?238 (1982) · DOI
- Reula, O.: Existence theorem for solutions of Witten's equations and nonnegativity of total mass. J. Math. Phys.23, 810?814 (1982) · DOI
- Hormander, L.: Linear partial differential operators. New York: Academic Press 1963 · DOI
- Geroch, R., Held, A., Penrose, R.: A space-time calculus based on pairs of null directions. J. Math. Phys.14, 874?881 (1973) · DOI · Paper page
- Gibbons, G.W., Hawking, S.W.: Cosmological event horizons, thermodynamics, and particle creation. Phys. Rev. D15, 2738?2751 (1977) · DOI · Paper page
- Pirani, F.A.E.: Introduction to gravitational radiation theory. In: Lectures on General Relativity, pp. 249?373. Trautman, A., Pirani, F.A.E., Bondi, H. (eds.). Englewood Cliffs, N.J.: Prentice-Hall 1965
Cited by
Thermodynamics of black holes in anti-de Sitter space
Hawking, S. W., & Page, D. N. (1983) · Communications in Mathematical Physics · doi:10.1007/bf01208266 · Cited by 3,045
Self-citationBulk locality and quantum error correction in AdS/CFT
Almheiri, A., Dong, X., & Harlow, D. (2015) · Journal of High Energy Physics · doi:10.1007/jhep04(2015)163 · Cited by 802
“This was used in [48] to prove the positive mass theorem in asymptotically anti-de Sitter space.”
MethodQuasi-Local Energy-Momentum and Angular Momentum in General Relativity
Szabados, L. B. (2009) · Living Reviews in Relativity · doi:10.12942/lrr-2009-4 · Cited by 351
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
Nothing is certain in string compactifications
Etxebarria, I. G., Montero, M., Sousa, K., & Valenzuela, I. (2020) · Journal of High Energy Physics · doi:10.1007/jhep12(2020)032 · Cited by 87
Metadata
- Authors
- Gibbons, G. W., Hawking, S. W., Horowitz, G. T., & Perry, M. J.
- Venue
- Communications in Mathematical Physics
- Published
- 1983-09
- Volume
- 88
- Issue
- 3
- Pages
- 295-308
- ISSN
- 0010-3616
- 1432-0916
- Cited by
- 229
- References
- 2
- 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.
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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.
