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

被引：7
|
作者：
Herberthson, Magnus [1 ]
机构：
[1] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden
来源：
CLASSICAL AND QUANTUM GRAVITY | 2009年 / 26卷 / 21期
关键词：
AXISYMMETRICAL SPACETIMES; VACUUM SOLUTIONS; TIMES;
D O I：
10.1088/0264-9381/26/21/215009
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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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页数：26
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