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Static vacuum spacetimes with prescribed multipole moments
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2010 (English)In: Journal of Physics, Conference Series, ISSN 1742-6588, E-ISSN 1742-6596, ISSN 1742-6588, Vol. 229Article in journal (Refereed) Published
Abstract [en]

This paper gives sufficient conditions on a sequence of multipole moments for a static spacetime to exist with precisely these moments. We outline the proof, which is constructive in the sense that a metric having prescribed multipole moments up to a given order can be calculated. These sufficient conditions agree with already known necessary conditions, and hence this completes the proof of a long standing conjecture due to Geroch

Place, publisher, year, edition, pages
IOP Publishing , 2010. Vol. 229
Keyword [en]
multipole moments
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URN: urn:nbn:se:liu:diva-66093DOI: 10.1088/1742-6596/229/1/012009OAI: oai:DiVA.org:liu-66093DiVA: diva2:401581
Available from: 2011-03-03 Created: 2011-03-03 Last updated: 2017-12-11

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Herberthson, Magnus

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