The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Gravitational Radiation in an Expanding Universe
Abstract
Asymptotic expansions are used to study outgoing gravitational radiation in an expanding, dust-filled Friedmann universe of negative curvature. It is found that the interaction with the matter modifies the ``peeling-off'' behavior. A quantity is defined which is interpreted as the total mass of the source and the disturbance, and which monotonically decreases as gravitational radiation is emitted. The group of coordinate transformations that preserve the asymptotic form of the metric and the boundary conditions is the same as the isometry group of the undisturbed Friedmann model. This may indicate that no physical significance attaches to the extra transformations of asymptotically flat space which are not contained in the inhomogeneous Lorentz group.
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Cites
An Approach to Gravitational Radiation by a Method of Spin Coefficients
Newman, E., & Penrose, R. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1724257 · Cited by 2,702
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
Bondi, H., Van der Burg, M. G. J., & Metzner, A. W. K. (1962) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1962.0161 · Cited by 2,426
Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
Sachs, R. K. :. (1962) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1962.0206 · Cited by 1,844
Asymptotic Symmetries in Gravitational Theory
Sachs, R. (1962) · Physical Review · doi:10.1103/physrev.128.2851 · Cited by 989
Zero rest-mass fields including gravitation: asymptotic behaviour
Penrose, R. (1965) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1965.0058 · Cited by 850
Asymptotic Properties of Fields and Space-Times
Penrose, R. (1963) · Physical Review Letters · doi:10.1103/physrevlett.10.66 · Cited by 802
Perturbations of an Expanding Universe
Hawking, S. W. (1966) · The Astrophysical Journal · doi:10.1086/148793 · Cited by 420
Self-citationBehavior of Asymptotically Flat Empty Spaces
Newman, E. T., & Unti, T. W. J. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1724303 · Cited by 402
A Possible Connexion between the Gravitational Field and Elementary Particle Physics
Newman, E. T. (1965) · Nature · doi:10.1038/206811a0 · Cited by 19
Research works printed but not linked: 3
- 1962, Proc. Roy. Soc. (London), A269, 21
- 1962, Proc. Roy. Soc. (London), A270, 103
- 1965, Proc. Roy. Soc. (London), A284, 159
Cited by
Quasilocal energy and conserved charges derived from the gravitational action
Brown, J. D., & York, J. W. (1993) · Physical Review D · doi:10.1103/physrevd.47.1407 · Cited by 1,793
The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality
Huisken, G., & Ilmanen, T. (2001) · Journal of Differential Geometry · doi:10.4310/jdg/1090349447 · Cited by 463
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
Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem
Bray, H. L. (2001) · Journal of Differential Geometry · doi:10.4310/jdg/1090349428 · Cited by 222
General pseudotensors and quasilocal quantities
Nester, J. M. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/3/016 · Cited by 43
Metadata
- Authors
- Hawking, S. W.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1968-04-01
- Volume
- 9
- Issue
- 4
- Pages
- 598-604
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2086051335
- Cited by
- 448
- References
- 9
- FWCI
- 0.99
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
