Symmetries of the stationary Einstein–Maxwell equations. IV. Transformations which preserve asymptotic flatness

Symmetries of the stationary Einstein–Maxwell equations. IV. Transformations which preserve asymptotic flatness
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保持渐近平坦性的稳态爱因斯坦-麦克斯韦方程组的对称性。

DOI:
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发表时间:
1978
期刊:
影响因子:
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通讯作者:
D. Chitre
D. Chitre
中科院分区:
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文献类型:
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作者:
W. Kinnersley;D. Chitre

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我们给出一系列变换βk,k= 0,1,.其可用于从已知的解生成新的静止轴对称真空解。这些变换具有保持渐近平坦性的重要性质。作为一个例子,他们的使用,我们展示了如何生成克尔度规从史瓦西。作为第二个例子,我们生成了一个新的五参数真空解,其中包含δ=2 Tomimatsu-Sato解作为特例。
We give a series of transformations βk, k=0,1,... which may be used to generate new stationary axially‐symmetric vacuum solutions from ones already known. These transformations have the important property of preserving asymptotic flatness. As one example of their use, we show how to generate the Kerr metric from Schwarzschild. As a second example, we generate a new five‐parameter vacuum solution which contains the δ=2 Tomimatsu–Sato solution as a special case.