An Approach to Gravitational Radiation by a Method of Spin Coefficients
Abstract
A new approach to general relativity by means of a tetrad or spinor formalism is presented. The essential feature of this approach is the consistent use of certain complex linear combinations of Ricci rotation coefficients which give, in effect, the spinor affine connection. It is applied to two problems in radiation theory; a concise proof of a theorem of Goldberg and Sachs and a description of the asymptotic behavior of the Riemann tensor and metric tensor, for outgoing gravitational radiation.
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Gravitational waves can be described by certain Weyl scalars constructed from the Weyl tensor.
“Gravitational waves can be described by certain Weyl scalars constructed from the Weyl tensor (Newman and Penrose 1962).”
From On a quantum Weyl curvature hypothesis (2022) · cites this paper as Newman and Penrose 1962
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References 11 · Cited by 2,702
- Authors
- Newman, E., & Penrose, R.
- Affiliations
- University of Pittsburgh (US)
- Syracuse University (US)
- ORCID
- Newman, Ezra
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1962-05-01
- Volume
- 3
- Issue
- 3
- Pages
- 566-578
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2153344483
- Cited by
- 2,702
- References
- 11
- Citations by year
- 2026: 79 · 2025: 126 · 2024: 116 · 2023: 92 · 2022: 108 · 2021: 109 · 2020: 78 · 2019: 109 · 2018: 98 · 2017: 67 · 2016: 57 · 2015: 43 · 2014: 68 · 2013: 75 · 2012: 51
- FWCI
- 13.13
- Type
- journal article
- Language
- en
- Update notices
- correction (1963-07-01)
- Open access
- closed
- Locations
- Journal of Mathematical Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- gravitational waves, spin coefficients, tetrad formalism, spinor formalism, asymptotic behavior, Riemann curvature tensor, metric tensor
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