LETTER: Conformal Ricci Collineations of Space-Times

被引：0
|
作者：
W. Kühnel
H.-B. Rademacher
机构：
[1] Universität Stuttgart,Mathematisches Institut B
[2] Universität Leipzig,Mathematisches Institut
来源：
General Relativity and Gravitation | 2001年 / 33卷
关键词：
Ricci tensor; conformal gradient field; Einstein spaces; conformal symmetries;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study conformal vector fields on space-times which in addition are compatible with the Ricci tensor (so-called conformal Ricci collineations). In the case of Einstein metrics any conformal vector field is automatically a Ricci collineation as well. For Riemannian manifolds, conformal Ricci collineation were called concircular vector fields and studied in the relationship with the geometry of geodesic circles. Here we obtain a partial classification of space-times carrying proper conformal Ricci collineations. There are examples which are not Einstein metrics.
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页码：1905 / 1914
页数：9
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