The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Spatial infinity as a boundary of spacetime
Open accessAbstract
A definition of asymptotic flatness at spatial infinity is given by imposing conditions at a time-like boundary of a completed 4-manifold. The resulting framework is similar to the Penrose description of asymptotic flatness at null infinity in that physics at spatial infinity is coded in smooth tensor fields on the boundary. it reproduces the standard results of the i 0 -framework with the advantage that it avoids the awkward differentiability conditions imposed at i 0 . The universal structure made available by the definition is examined and the structure of the associated asymptotic symmetry group is analysed. The tensor fields describing the leading order behaviour of the gravitational field at spatial infinity are then introduced and the field equations that they satisfy are derived. Finally, the expressions of the 4-momentum and the angular momentum are presented. The structure of the permissible isometry groups in asymptotically flat spacetimes is discussed in an appendix.
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“note for instance that there are other relevant topologies in state space, as the norm topologies defined by the kinematical or diffeomorphism-invariant Hilbert structures [6, 7], which are inequivalent to the one in which the limit (13) is taken.”
From Discreteness of area and volume in quantum gravity (1995) · cites this paper as [7]
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Cites
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Cited by
Sorted by citations
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365
General definition of “conserved quantities” in general relativity and other theories of gravity
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Spin networks and quantum gravity
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Asymptotically anti-de Sitter spacetimes: conserved quantities
Ashtekar, A., & Das, S. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/2/101 · Cited by 404
Self-citationLectures on the Infrared Structure of Gravity and Gauge Theory
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Metadata
- Authors
- Ashtekar, A., & Romano, J. D.
- Affiliations
- Syracuse University (US)
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1992-04-01
- Volume
- 9
- Issue
- 4
- Pages
- 1069-1100
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2051985377
- Cited by
- 175
- References
- 28
- Citations by year
- 2026: 4 · 2025: 8 · 2024: 8 · 2023: 1 · 2022: 9 · 2021: 4 · 2020: 4 · 2019: 23 · 2018: 10 · 2017: 4 · 2016: 2 · 2015: 3 · 2014: 3 · 2013: 5 · 2012: 6
- FWCI
- 7.90
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Classical and Quantum Gravity (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- asymptotically flat spacetimes, spatial infinity, asymptotic symmetry group, angular momentum, isometry groups
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