The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Killing vectors in asymptotically flat space-times. II. Asymptotically translational Killing vectors and the rigid positive energy theorem in higher dimensions
Abstract
We show that the borderline cases in the proof of the positive energy theorem for initial data sets, on spin manifolds, in dimensions n⩾3, are only possible for initial data arising from embeddings in Minkowski space-time.
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“Previously the result was only known for spin manifolds [5,6].”
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Citations
Cites
A new proof of the positive energy theorem
Witten, E. (1981) · Communications in Mathematical Physics · doi:10.1007/bf01208277 · Cited by 1,595
Research works printed but not linked: 8
- 1986, The mass of an asymptotically flat manifold, Commun. Pure Appl. Math., 39, 661, 10.1002/cpa.3160390505 · DOI
- 1978, Arnowitt-Deser-Misner energy and g00, Phys. Lett., 69A, 153, 10.1016/0375-9601(78)90198-6 · DOI
- Tafel, 1996, Killing initial data, Class. Quantum Grav., 14, A83, 10.1088/0264-9381/14/1A/007 · DOI
- 1996, Killing vectors in asymptotically flat space-times: I. Asymptotically translational Killing vectors and the rigid positive energy theorem, J. Math. Phys., 37, 1939, 10.1063/1.531497 · DOI · Paper page
- Bergmann, 1986, Boundary conditions at spatial infinity from a Hamiltonian point of view, 49, 10.1007/978-1-4899-3626-4 · DOI
- 2004, The Trautman-Bondi mass of hyperboloidal initial data sets, Adv. Theor. Math. Phys., 8, 83, 10.4310/ATMP.2004.v8.n1.a2 · DOI
- Maerten, D., “Positive energy-momentum theorem in asymptotically anti-de Sitter space-times,” Ph.D. thesis, Université de Montpellier, 2005, math.DG/0506061. · arXiv
- 2003, Positive mass theorem on manifolds admitting corners along a hypersurface, Adv. Theor. Math. Phys., 6, 1163
Cited by
The spacetime positive mass theorem in dimensions less than eight
Eichmair, M., Huang, L.-H., Lee, D. A., & Schoen, R. (2015) · Journal of the European Mathematical Society · doi:10.4171/jems/584 · Cited by 82
Equality in the Spacetime Positive Mass Theorem
Huang, L.-H., & Lee, D. A. (2020) · Communications in Mathematical Physics · doi:10.1007/s00220-019-03619-w · Cited by 32
Metadata
- Authors
- Chruściel, P. T., & Maerten, D.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 2006-02-01
- Volume
- 47
- Issue
- 2
- ISSN
- 0022-2488
- 1089-7658
- Cited by
- 28
- References
- 1
- Language
- en
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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