Abstract

We present the Ernst potential and the full four-dimensional metric for a stationary axisymmetric solution of the vacuum Einstein equations, which we obtain by application of two rank-zero H. K. X. transformations (Hoenselaers, Kinnersley & Xanthopolous J. math. Phys . 20, 2530 (1979)) to the general static Weyl solution. A suitable Ehlers transformation ensures asymptotic flatness.

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