A new class of bipolar vacuum gravitational fields

Mathematics

Scientific paper

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Asymptotic Methods, Einstein Equations, Gravitational Fields, Numerical Integration, Space-Time Functions, Transformations (Mathematics), Harmonic Functions, Potential Theory, Vacuum Effects

Scientific paper

The Ernst potential and the full four-dimensional metric are presented for a stationary axisymmetric solution of the vacuum Einstein equations, which were obtained by application of two rank-zero H.K.X. transformations (Hoenselaers, Kinnersley and Xanthopolous, 1979) to the general static Weyl solution. A suitable Ehlers transformation ensures asymptotic flatness.

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