Non-vacuum twisting type-N metrics
Non-vacuum twisting type-N metrics
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DOI：
10.1088/0264-9381/18/2/311
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发表时间：
2000-07
影响因子：
3.5
通讯作者：
P. Nurowski;J. Plebański
中科院分区：
文献类型：
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作者：
P. Nurowski;J. Plebański
我们给出了一些扭转类型-N度量的结果。(A)给出了对应于扭转N-型爱因斯坦度规的最大约化方程组。当宇宙学常数λ→为0时，它们简化为真空扭曲NS的标准方程。(B)给出了与扭型N度量共形等价且具有三维共形对称群的所有度量。(C)在Feferman度量类中，给出了一个满足Bach方程但不是爱因斯坦的扭转类型N度量的例子。
We present a number of results for twisting type-N metrics. (a) A maximally reduced system of equations corresponding to the twisting type-N Einstein metrics is given. When the cosmological constant λ→0 they reduce to the standard equations for the vacuum twisting type Ns. (b) All the metrics which are conformally equivalent to the twisting type-N metrics and which admit three-dimensional conformal group of symmetries are presented. (c) In the Feferman class of metrics an example is given of a twisting type-N metric which satisfies Bach's equations but is not Einstein.