(Conformal) Killing Vectors in the Newman-Penrose Formalism

被引：0
|
作者：
Garry Ludwig
S. Brian Edgar
机构：
[1] University of Alberta,Department of Mathematical Sciences
[2] University of Linköping,Department of Mathematics
来源：
General Relativity and Gravitation | 2002年 / 34卷
关键词：
Conformal Killing vectors; Petrov types;
D O I：
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学科分类号：
摘要：
Finding (conformal) Killing vectors of a given metric can be a difficult task. This paper presents an efficient technique for finding Killing, homothetic, or even proper conformal Killing vectors in the Newman-Penrose (NP) formalism. Leaning on, and extending, results previously derived in the GHP formalism we show that the (conformal) Killing equations can be replaced by a set of equations involving the commutators of the Lie derivative with the four NP differential operators, applied to the four coordinates.
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页码：807 / 835
页数：28
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