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The gravitational dipole and explicit multipole moments of static axisymmetric spacetimes
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2004 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 21, no 22, 5121-5138 p.Article in journal (Refereed) Published
Abstract [en]

The multipole moments of static axisymmetric asymptotically flat spacetimes are considered. The usual set of recursively defined tensors is replaced with one real-valued function m defined on R+ ∪ {0}, where the moments are given by the derivatives of m at 0. As examples of applications, we show that the Schwarzschild spacetime is the gravitational monopole and derive the metric for the gravitational dipole.

Place, publisher, year, edition, pages
2004. Vol. 21, no 22, 5121-5138 p.
Keyword [en]
dipole, multipole moments
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-22353DOI: 10.1088/0264-9381/21/22/007Local ID: 1559OAI: oai:DiVA.org:liu-22353DiVA: diva2:242666
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2017-12-13

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Herberthson, Magnus

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