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Static spacetimes with prescribed multipole moments: a proof of a conjecture by Geroch
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2009 (English)In: Classical and quantum gravity, ISSN 0264-9381, E-ISSN 1361-6382, Vol. 26, no 21, 1-26 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we give sufficient conditions on a sequence of multipole moments for a static spacetime to exist with precisely these moments. The proof is constructive in the sense that a metric having prescribed multipole moments up to a given order can be calculated. Since these sufficient conditions agree with already known necessary conditions, this completes the proof of a long standing conjecture due to Geroch.

Place, publisher, year, edition, pages
Bristol, UK: IOP Publishing , 2009. Vol. 26, no 21, 1-26 p.
Keyword [en]
static spacetimes, multipole moments
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-52726DOI: 10.1088/0264-9381/26/21/215009OAI: oai:DiVA.org:liu-52726DiVA: diva2:285345
Available from: 2010-01-11 Created: 2010-01-11 Last updated: 2017-12-12

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Herberthson, Magnus

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