Static spacetimes with prescribed multipole moments; a proof of a conjecture by Geroch
General Relativity and Quantum Cosmology
2015-05-13 v1
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.
Keywords
Cite
@article{arxiv.0906.4247,
title = {Static spacetimes with prescribed multipole moments; a proof of a conjecture by Geroch},
author = {Magnus Herberthson},
journal= {arXiv preprint arXiv:0906.4247},
year = {2015}
}
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29 pages