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Positivity of the Total Mass of a General Space-Time
Abstract
The positive-mass conjecture states that for a nontrivial isolated physical system, the total energy, which includes contributions from both matter and gravitation, is positive. This assertion has been demonstrated in the important case when the space-time admits a maximal slice. Here this assumption is removed and the general mass conjecture is demonstrated. Also the topology of all possible asymptotically flat space-times satisfying the local energy condition is determined.
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“While the curvature is low in most of the spacetime, Mathur and collaborators [16] have suggested low curvature regions can obtain large stringy corrections.”
From Bubbles unbound: bubbles of nothing without Kaluza-Klein (2007) · cites this paper as [16]
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Research works printed but not linked: 7
- R. Arnowitt, 1960, Phys. Rev., 118, 1100, 10.1103/PhysRev.118.1100 · DOI
- R. Arnowitt, 1961, Phys. Rev., 121, 1556, 10.1103/PhysRev.121.1556 · DOI
- R. Arnowitt, 1961, Phys. Rev., 122, 997, 10.1103/PhysRev.122.997 · DOI
- R. Schoen, 1979, Commun. Math. Phys., 65, 45, 10.1007/BF01940959 · DOI · Paper page
- R. Schoen, 1978, Proc. Nat. Acad. Sci. USA, 75, 2567, 10.1073/pnas.75.6.2567 · DOI
- R. Schoen, 1979, Ann. Math., 110, 127, 10.2307/1971247 · DOI
- R. Schoen, 1979, Manuscr. Math., 28, 159, 10.1007/BF01647970 · 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
Instability of the Kaluza-Klein vacuum
Witten, E. (1982) · Nuclear Physics B · doi:10.1016/0550-3213(82)90007-4 · Cited by 595
Quasi-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
Does back reaction enforce the averaged null energy condition in semiclassical gravity?
Flanagan, E. E., & Wald, R. M. (1996) · Physical Review D · doi:10.1103/physrevd.54.6233 · Cited by 352
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
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1979-11-12
- Volume
- 43
- Issue
- 20
- Pages
- 1457-1459
- ISSN
- 0031-9007
- Cited by
- 131
- References
- 0
- Language
- en
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- Schoen, R., & Yau, S.-T. (1979). Positivity of the Total Mass of a General Space-Time. Physical Review Letters. https://doi.org/10.1103/physrevlett.43.1457
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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).
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