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Gravitational waves in general relativity. VI. The outgoing radiation condition
Abstract
A covariant formulation of the outgoing radiation condition for gravitational fields is proposed. The condition is based on a detailed examination of the geometry of null lines and of the algebraic and differential properties of the Riemann tensor. It relates the absence of incoming radiation, in a gravitational field with bounded sources and Euclidean topology, to the asymptotic behaviour of the Riemann tensor. Fields that are algebraically special in the Petrov classification are highly special examples of fields obeying the suggested condition.
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Cited by
Cosmology and Fundamental Physics with the Euclid Satellite
The Euclid Theory Working Group, Amendola, L., Appleby, S., Bacon, D., Baker, T., Baldi, M., Bartolo, N., Blanchard, A., Bonvin, C., Borgani, S., et al. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-6 · Cited by 899
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Blanchet, L. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-4 · Cited by 686
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
Generalization of a Theorem by Goldberg and Sachs
Robinson, I., & Schild, A. (1963) · Journal of Mathematical Physics · doi:10.1063/1.1703980 · Cited by 56
Metadata
- Authors
- Sachs, R.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1961-11-21
- Volume
- 264
- Issue
- 1318
- Pages
- 309-338
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W1992541079
- Cited by
- 695
- References
- 0
- FWCI
- 8.68
- Type
- journal article
- Language
- en
- Open access
- closed
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