Symmetries of the stationary Einstein–Maxwell equations. VI. Transformations which generate asymptotically flat spacetimes with arbitrary multipole moments
Symmetries of the stationary Einstein–Maxwell equations. VI. Transformations which generate asymptotically flat spacetimes with arbitrary multipole moments
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稳态爱因斯坦-麦克斯韦方程组的对称性，生成具有任意多极矩的渐近平坦时空。
DOI：
10.1063/1.524058
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发表时间：
1979
影响因子：
1.3
通讯作者：
B. Xanthopoulos
中科院分区：
文献类型：
--
作者：
C. Hoenselaers;W. Kinnersley;B. Xanthopoulos
本文提出了一系列新的变换，用以产生爱因斯坦方程的稳态轴对称渐近平坦真空解。该应用程序只需要进行代数运算。几个例子给出了新的固定轴对称的解决方案，以这种方式获得。证明了应用于一般Weyl度规的变换可以系统地产生所有具有轴对称性的平稳度规。
A new series of transformations is presented for generating stationary axially symmetric asymptotically flat vacuum solutions of Einstein’s equations. The application requires only algebraic manipulations to be performed. Several examples are given of new stationary axisymmetric solutions obtained in this way. It is conjectured that the transformations, applied to the genral Weyl metric, can be used to generate systematically all stationary metrics with axial symmetry.