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arXiv · 0906.4247

Static spacetimes with prescribed multipole moments; a proof of a conjecture by Geroch

Magnus Herberthson
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Abstract

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.

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Magnus Herberthson. 2009-06-23. Static spacetimes with prescribed multipole moments; a proof of a conjecture by Geroch. https://doi.org/10.1088/0264-9381%2F26%2F21%2F215009

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