Multipole moments of stationary space-times
- 1 January 1974
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (1) , 46-52
- https://doi.org/10.1063/1.1666501
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.Keywords
This publication has 13 references indexed in Scilit:
- Black holes in general relativityCommunications in Mathematical Physics, 1972
- A Method for Generating Solutions of Einstein's EquationsJournal of Mathematical Physics, 1971
- Axisymmetric Black Hole Has Only Two Degrees of FreedomPhysical Review Letters, 1971
- Multipole Moments. II. Curved SpaceJournal of Mathematical Physics, 1970
- Multipole Moments. I. Flat SpaceJournal of Mathematical Physics, 1970
- Global Structure of the Kerr Family of Gravitational FieldsPhysical Review B, 1968
- Event Horizons in Static Vacuum Space-TimesPhysical Review B, 1967
- Material Sources for the Kerr MetricPhysical Review B, 1967
- Note on the Kerr Spinning-Particle MetricJournal of Mathematical Physics, 1965
- Gravitational Field of a Spinning Mass as an Example of Algebraically Special MetricsPhysical Review Letters, 1963