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Cited by 596

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Multipole moments of stationary space-times

Hansen, R. O.·1974·Journal of Mathematical Physics
DOI 10.1063/1.1666501
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Abstract

Multipole moments are defined for stationary, asymptotically flat, source-free solutions of Einstein's equation. There arise two sets of multipole moments, the mass moments and the angular momentum moments. These quantities emerge as tensors at a point A ``at spatial infinity.'' They may be expressed as certain combinations of the derivatives at A of the norm and twist of the timelike Killing vector. In the Newtonian limit, the moments reduce to the usual multipole moments of the Newtonian potential. Some properties of these moments are derived, and, as an example, the multipole moments of the Kerr solution are discussed.

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Metadata

Authors
Hansen, R. O.
Venue
Journal of Mathematical Physics
Publisher
AIP Publishing
Published
1974-01-01
Volume
15
Issue
1
Pages
46-52
ISSN
  • 0022-2488 (ISSN-L)
  • 1089-7658
DOI
10.1063/1.1666501
OpenAlex
W1980733923
Cited by
596
References
1
FWCI
2.45
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Multipole moments of stationary space-times. https://app.cochat.ai/papers/10.1063/1.1666501
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Hansen, R. O. (1974). Multipole moments of stationary space-times. Journal of Mathematical Physics. https://doi.org/10.1063/1.1666501

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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.